{"id":143873,"date":"2025-08-16T13:22:30","date_gmt":"2025-08-16T16:22:30","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=143873"},"modified":"2025-11-07T14:52:47","modified_gmt":"2025-11-07T17:52:47","slug":"arco-capaz-teoria-casos-especiais-e-aplicacoes","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/","title":{"rendered":"Arco Capaz: teoria, casos especiais e aplica\u00e7\u00f5es"},"content":{"rendered":"<p class=\"wp-block-paragraph\">O estudo dos lugares <span id=\"urn:enhancement-2446a166-3187-4857-9622-0b58719ff3bd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">geom&eacute;tricos<\/span> &eacute; fundamental para compreender como diferentes condi&ccedil;&otilde;es podem gerar curvas espec&iacute;ficas no <span id=\"urn:enhancement-cfbe0a78-0125-435f-8737-97bd4682c776\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span>, como as <span id=\"urn:enhancement-c417bbf7-70d4-4ea2-b2c4-8e94ba101679\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncias<\/span>. Esse conceito explora o conjunto de pontos a partir dos quais um segmento &eacute; visto sob um mesmo <span id=\"urn:enhancement-bce3c941-432c-4f0e-896b-babef0765f79\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span>.<p class=\"wp-block-paragraph\">Nesse sentido, une conceitos de <span id=\"urn:enhancement-43588b95-7aec-4464-b279-87d84ea0d61a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria-euclidiana\">geometria plana<\/span> com propriedades das <span id=\"urn:enhancement-7aabcf5b-4ea3-4056-a4e8-4aacf23ece88\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncias<\/span> e dos <span id=\"urn:enhancement-04edc976-8a83-44e1-bedc-5a98e35f0eda\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulos<\/span> inscritos. Logo, permite resolver problemas que envolvem constru&ccedil;&atilde;o de figuras, an&aacute;lise de <span id=\"urn:enhancement-6ac594e7-e9b9-433c-87d7-7df7dde5f51d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulos<\/span> e identifica&ccedil;&atilde;o de simetrias.<\/p><p class=\"wp-block-paragraph\">Neste texto, voc&ecirc; vai entender o que &eacute; o arco capaz e como &eacute; sua constru&ccedil;&atilde;o <span id=\"urn:enhancement-8e59e63b-a915-446c-a9f4-d15f197b2616\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">geom&eacute;trica<\/span>, al&eacute;m de revisar conceitos fundamentais e explorar casos especiais e aplica&ccedil;&otilde;es. Acompanhe abaixo.<\/p><p class=\"wp-block-paragraph\"><div class=\"cta-medio\" style=\"background-image: url(https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/08\/curso-enem-e-vestibulares-2-estrategia-vestibulares-ctamedio.png.jpg);\"><h3>Pacote Vestibulares Platinum<\/h3><p>Conhe\u00e7a nosso curso<\/p><div class=\"cta-botao\"><a id=\"cta-medio\" href=\"https:\/\/vestibulares.estrategia.com\/curso\/vestibulares-platinum\/\" target=\"_blank\" style=\"background:rgb(255,150,0)\">Compre agora<\/a><\/div><\/div>\n\n\n\n<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Lugares-geometricos-e-angulos-na-circunferencia\" >Lugares geom&eacute;tricos e &acirc;ngulos na circunfer&ecirc;ncia<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Definicao-de-arco-capaz\" >Defini&ccedil;&atilde;o de arco capaz<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Construcao-do-arco-capaz\" >Constru&ccedil;&atilde;o do arco capaz<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Dois-arcos-capazes-para-o-mesmo-angulo\" >Dois arcos capazes para o mesmo &acirc;ngulo<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Arcos-Capazes-de-%CE%B1-e-180%C2%B0-%E2%88%92-%CE%B1\" >Arcos Capazes de &alpha; e 180&deg; &minus; &alpha;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Resolucao-de-problemas-envolvendo-arco-capaz-e-principais-erros\" >Resolu&ccedil;&atilde;o de problemas envolvendo arco capaz e principais erros<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Questao-do-vestibular-envolvendo-arco-capaz\" >Quest&atilde;o do vestibular envolvendo arco capaz<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/arco-capaz-teoria-casos-especiais-e-aplicacoes\/#Prepare-se-para-o-vestibular-com-o-Estrategia\" >Prepare-se para o vestibular com o Estrat&eacute;gia!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-lugares-geometricos-e-angulos-na-circunferencia\"><span class=\"ez-toc-section\" id=\"Lugares-geometricos-e-angulos-na-circunferencia\"><\/span>Lugares geom&eacute;tricos e &acirc;ngulos na circunfer&ecirc;ncia<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-bf1d7879-0bc4-442e-a839-303839c3449e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lugar-geometrico\">Lugar geom&eacute;trico<\/span> &eacute; o conjunto de todos os pontos do <span id=\"urn:enhancement-3af8985c-981b-46bc-a32e-6ffa08fbe325\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span> que satisfazem uma determinada propriedade. Como exemplo disso temos o conceito de <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/circulo-e-circunferencia\/\" target=\"_blank\">circunfer&ecirc;ncia<\/a>, que &eacute; o <span id=\"urn:enhancement-a9b8d32f-403a-4fbb-9fe2-8596f2dca2fd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lugar-geometrico\">lugar geom&eacute;trico<\/span> dos pontos que est&atilde;o a uma <span id=\"urn:enhancement-098857fe-93e3-4e62-975b-2bab103773cf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/distancia\">dist&acirc;ncia<\/span> fixa (o <span id=\"urn:enhancement-151be89c-213f-457c-bbb6-8fe3ec9025e6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/raio\">raio<\/span>) de um ponto dado (o centro).<\/p><p class=\"wp-block-paragraph\">Alguns conceitos importantes envolvendo <span id=\"urn:enhancement-777a42da-ac52-4715-a8e4-9e6e4c91a503\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncias<\/span> s&atilde;o:<\/p><ul class=\"wp-block-list\">\n<li><strong>&Acirc;ngulo central<\/strong>: tem v&eacute;rtice no centro da circunfer&ecirc;ncia e seus lados s&atilde;o dois raios. A medida do &acirc;ngulo central &eacute; igual &agrave; medida do arco que ele subtende (&alpha; = BC).<\/li>\n<\/ul><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"253\" height=\"215\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXeUPMGtgLCNgCDuiJLGxDiu9FXesTeEHSOaL3poqohHBlMFHwd41UOiDCHINF5BeoE3EbdoL0ZBU2kX5gsTpXQFJ_E9IFyvGlsZDa2b8Gxz7Sn-nz5CkAAW2qV3dG3WZ_wgaWUQ.png\" alt=\"\" class=\"wp-image-143894\" style=\"width:180px;height:auto\"><\/figure>\n<\/div><ul class=\"wp-block-list\">\n<li><strong>&Acirc;ngulo inscrito<\/strong>: tem v&eacute;rtice sobre a circunfer&ecirc;ncia e seus lados s&atilde;o cordas que interceptam um arco. A medida de um &acirc;ngulo inscrito &eacute; metade da medida do arco que ele subtende (&beta; = BC\/2) .<\/li>\n<\/ul><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"263\" height=\"222\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXfVrYwZI0sE_b13xJI0Av1vSp6bD1ZKVJp6074OxCF-QcMqcRAJIv7xZxvJOKMUdg9FlJtCktO_JJyDSzXe2rjPDXSSC_PU7aOUU07nCo_UgAOA2ohWMrtOQzXNsw2xcerLuiLX4A.png\" alt=\"\" class=\"wp-image-143889\" style=\"width:190px;height:auto\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\"><strong>Obs.: <\/strong>Uma propriedade importante dos <span id=\"urn:enhancement-4fb2c860-3b43-43a1-a1f9-2d273ae4643c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulos<\/span> inscritos &eacute;:<\/p><ul class=\"wp-block-list\">\n<li>Todos os &acirc;ngulos inscritos que subtendem o mesmo arco de uma circunfer&ecirc;ncia s&atilde;o <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/congruencia-de-triangulos-definicao-aplicacoes-e-questoes\/\" target=\"_blank\">congruentes<\/a>.<\/li>\n<\/ul><h2 class=\"wp-block-heading\" id=\"h-definicao-de-arco-capaz\"><span class=\"ez-toc-section\" id=\"Definicao-de-arco-capaz\"><\/span>Defini&ccedil;&atilde;o de arco capaz<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Dado um segmento AB e um <span id=\"urn:enhancement-916ec22e-c15c-4856-ac14-a922783c4c34\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> fixo &alpha;, chamamos de arco capaz o <span id=\"urn:enhancement-677a7815-25a3-4afd-be51-fb659aa6da62\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lugar-geometrico\">lugar geom&eacute;trico<\/span> dos pontos P, no <span id=\"urn:enhancement-b376a48e-ec0e-4f97-a73a-4bd7c15ca0c7\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/plano\">plano<\/span> (mas n&atilde;o sobre a reta AB), tais que o <span id=\"urn:enhancement-afac0bca-9f55-4493-aec2-c6993a3e8f04\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &ang;APB=&alpha;.<\/p><p class=\"wp-block-paragraph\">Em outras palavras, &eacute; o conjunto de todos os pontos P de onde conseguimos observar o segmento AB sob o mesmo <span id=\"urn:enhancement-ccea6388-437d-4b98-a7ed-e70db3162c81\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &alpha;. O conjunto desses pontos <span id=\"urn:enhancement-2016f0a6-e2f7-4d10-bf43-d58432680f4d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> uma curva com uma propriedade especial: &eacute; parte de uma <span id=\"urn:enhancement-f213f025-aac5-46b7-b07e-9a4cd838719a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span>.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"413\" height=\"316\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXfKa-Y_KR3NvgzkrxNBSn8hsyYLa-mI7qoXHbPQn6txlsuX1ApBFNgRfylQ5dbqMLvOaKAPPTbTH7ctZbX4KUkBS6TX3zKqpViKyBXCIaWXJv_WHSld3s3Nc7Vl8CRh7ekc5Q-W.png\" alt=\"\" class=\"wp-image-143895\" style=\"width:225px;height:auto\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">A propriedade dos <span id=\"urn:enhancement-973bb87b-06bf-4a7b-b8e6-2ae8429ec6fb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulos<\/span> inscritos explica o fato de ao fixar um segmento AB e escolher um ponto P sobre a <span id=\"urn:enhancement-7fa951d0-b7c6-43ea-86f5-48dd4faa98bd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> que passa por A, B e P, o <span id=\"urn:enhancement-e9f1637e-dd47-4ca3-be42-8003ceca050b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &ang;APB ser sempre o mesmo.<\/p><p class=\"wp-block-paragraph\">Assim, todos os pontos P que mant&ecirc;m &ang;APB=&alpha; est&atilde;o sobre a mesma <span id=\"urn:enhancement-1ffffa86-1818-4a9f-8898-0919942d3188\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> e o trecho dessa <span id=\"urn:enhancement-180713da-65df-41a8-9628-07ae02db4bdb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> que corresponde a esses pontos &eacute; o arco capaz de AB para o <span id=\"urn:enhancement-bf3f208b-fce7-45b2-b16f-65415baba520\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &alpha;.<\/p><h2 class=\"wp-block-heading\" id=\"h-construcao-do-arco-capaz\"><span class=\"ez-toc-section\" id=\"Construcao-do-arco-capaz\"><\/span>Constru&ccedil;&atilde;o do arco capaz<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A constru&ccedil;&atilde;o do arco capaz pode ser feita de duas formas principais:<\/p><h3 class=\"wp-block-heading\" id=\"h-metodo-1-construcao-geometrica-elaborada\">M&eacute;todo 1: constru&ccedil;&atilde;o geom&eacute;trica elaborada<\/h3><ol class=\"wp-block-list\">\n<li>Desenhe o segmento AB;<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"325\" height=\"86\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXd9U92xr9m4SXK278Ud90pG1I-Xa6pEKq0RfRo3sHedxH8vetc7GhAhXllTmyCrtzgGMH0Sx3LwAlqQW1w0yD5fncEpxhubxEMg7wTnUU61fbbdo8nZDODtIPrMVBd-pTTLDUVaWQ.png\" alt=\"\" class=\"wp-image-143888\" style=\"width:197px;height:auto\"><\/figure>\n<\/div><ol start=\"2\" class=\"wp-block-list\">\n<li>Construa um &acirc;ngulo &ang;XAB=&alpha;, com lado AB;<\/li>\n\n\n\n<li>A partir de A, desenhe uma reta com &acirc;ngulo &alpha; em rela&ccedil;&atilde;o a AB;<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"359\" height=\"256\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXfU2aWfVo_kB2ovYd19WYRsgq7MP1lccArK2xiLuoQXXyH1SDiVCvwf2IRJZSezOtW5O_4ZF1w4X7XP8Q5uINneAfTK7xjotWTpM345nukNrgObQfEy-GwSSEzNTWqp95QBEAA1ew.png\" alt=\"\" class=\"wp-image-143892\" style=\"width:222px;height:auto\"><\/figure>\n<\/div><ol start=\"4\" class=\"wp-block-list\">\n<li>Construa a mediatriz de AB;<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"359\" height=\"286\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXeB6nhozsT8SleEH-KfUtpUDV3snnbg7ffgFoNUYfa7m2-39gHbqVmXWt7kBrwZmF4FSWQ4CrLylk2IeUekuQf43LACA43V6N9Fbs3zTIDb7wbw9N0VKaJSYmi0IQdzdArK-_CfjA.png\" alt=\"\" class=\"wp-image-143884\" style=\"width:216px;height:auto\"><\/figure>\n<\/div><ol start=\"5\" class=\"wp-block-list\">\n<li>O ponto de interse&ccedil;&atilde;o da mediatriz com a reta perpendicular ao lado auxiliar do &acirc;ngulo &ang;XAB no ponto A ser&aacute; o centro da circunfer&ecirc;ncia do arco capaz; e<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"363\" height=\"285\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXeWiA_BXtTRD9U9o_apAqschQmgz0_ec5CkY0qqYWvk7haK3rV1mORblTvjyQHGXaNQHzje8NmEvBxDQtp0eI9PesABKwaw88XvmCr-OHBbwW1NPzChJGMWs4bYwyF_9ulpAoZ6.png\" alt=\"\" class=\"wp-image-143885\" style=\"width:248px;height:auto\"><\/figure>\n<\/div><ol start=\"6\" class=\"wp-block-list\">\n<li>Com centro nesse ponto e raio at&eacute; A ou B, desenhe a circunfer&ecirc;ncia.<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"466\" height=\"302\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXcP3K29w2myCDhYK1c7zlgSPjC-iFhlEjEpucmvUd9FkdilKJV4XrZRAfteg1gC86pVlRcUBTNMzPgTP4e9FE8BT-gt0Hlcp5qqNsDsIdDwPRl7q_9SN2Cq_I2zndSrDleZ7uhSqA.png\" alt=\"\" class=\"wp-image-143891\" style=\"width:299px;height:auto\"><\/figure>\n<\/div><h3 class=\"wp-block-heading\" id=\"h-metodo-2-construcao-direta-via-triangulo\">M&eacute;todo 2: constru&ccedil;&atilde;o direta via tri&acirc;ngulo<\/h3><ol class=\"wp-block-list\">\n<li>Desenhe o segmento AB;<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"325\" height=\"86\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXe3lkZ9JrILdQ8HhYeGKALWBHP1bBNW0oxPJIJC4ULon0jPotGFvhZD3aABNgbmLKFTLLzIos3qOK-PUYbHzb96SIBuH-qYWIhXxveNw-PQl_s0lvsbjpkKmrvhPsHXZHu3uB2v_w.png\" alt=\"\" class=\"wp-image-143887\" style=\"width:212px;height:auto\"><\/figure>\n<\/div><ol start=\"2\" class=\"wp-block-list\">\n<li>Escolha um ponto P de forma que &ang;APB=&alpha;; e<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"339\" height=\"253\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXc0s7gGXN-YOA9Muc0UXd2u5OV9e6YoBOS_m_hiXtvZusrsMyhTK_-_JoVckEkbMaxHGbdVj7Zu5gBD-5O4wcEghOX9A4BWS6PO5e8T8Cedb9n2cLKFJ51xbYGo8iHkGFK6v0Ad2g.png\" alt=\"\" class=\"wp-image-143882\" style=\"width:216px;height:auto\"><\/figure>\n<\/div><ol start=\"3\" class=\"wp-block-list\">\n<li>Trace a circunfer&ecirc;ncia que passa por A, B e P que &eacute; a circunfer&ecirc;ncia do arco capaz.<\/li>\n<\/ol><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"426\" height=\"300\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXc6biXN0b7080OkOi2Mru2pzDc_G7ZCoZX-hLvl0-1Akx-42QC-QV_NIS6EzJuclr0u_aiAQxu6vkow-1aWxPPwCe_JEcV7ryRtWO3vd2QvbAV5IBkC8HZCt9wetgWxJ7LgkOmzyg.png\" alt=\"\" class=\"wp-image-143883\" style=\"width:264px;height:auto\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">O centro dessa <span id=\"urn:enhancement-1e628fb2-9610-4d93-9590-d86ad3ab2990\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> estar&aacute; na mediatriz do segmento AB, pois ela &eacute; perpendicular &agrave; AB e passa pelo seu ponto m&eacute;dio, propriedade comum a todas as <span id=\"urn:enhancement-19383445-6448-4029-a8a2-4b91677c7027\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncias<\/span> que passam por dois pontos fixos.<\/p><p class=\"wp-block-paragraph\">+ Veja tamb&eacute;m: <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/lugares-geometricos-definicao-exemplos-e-questoes\/\" target=\"_blank\">Lugares geom&eacute;tricos: defini&ccedil;&atilde;o, exemplos e quest&otilde;es<\/a><\/p><h2 class=\"wp-block-heading\" id=\"h-dois-arcos-capazes-para-o-mesmo-angulo\"><span class=\"ez-toc-section\" id=\"Dois-arcos-capazes-para-o-mesmo-angulo\"><\/span>Dois arcos capazes para o mesmo &acirc;ngulo<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Um fato interessante &eacute; a exist&ecirc;ncia de dois arcos capazes distintos para o mesmo <span id=\"urn:enhancement-935e7ce2-dfb2-499b-a582-a4d675839d28\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &alpha;, localizados em lados opostos da reta AB. Ou seja, para um mesmo segmento e <span id=\"urn:enhancement-7e5474b1-713d-42ca-bece-678bdea5ece6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span>, &eacute; poss&iacute;vel tra&ccedil;ar duas <span id=\"urn:enhancement-63b1cb60-b677-4c72-9991-c816934d680e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncias<\/span> diferentes, com arcos capazes complementares.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"314\" height=\"373\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXdzJneGwNGllJCoDU-IagikmQMtoxQFBI9nEJLbSXsbk5421xOwJoT9ASOz4GXzkdyVdtyMOlK5MqPqMksbNpQCgFDkgynI3gcLkdv9wVXwm72QchHFImxCVIlMAQQe3TTQGQav.png\" alt=\"\" class=\"wp-image-143886\" style=\"width:250px;height:auto\"><\/figure>\n<\/div><h2 class=\"wp-block-heading\" id=\"h-arcos-capazes-de-&alpha;-e-180-&alpha;\"><span class=\"ez-toc-section\" id=\"Arcos-Capazes-de-%CE%B1-e-180%C2%B0-%E2%88%92-%CE%B1\"><\/span>Arcos Capazes de &alpha; e 180&deg; &minus; &alpha;<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Para um segmento AB, o arco capaz de um <span id=\"urn:enhancement-aacb7396-505a-4f08-9c7d-ca5d78667071\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &alpha; e o do <span id=\"urn:enhancement-4cd4e5df-ce89-446c-be74-d75cfc0de50e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> 180&deg;&minus;&alpha; aparecem de lados opostos da reta AB. Esse fen&ocirc;meno est&aacute; ligado &agrave; propriedade dos quadril&aacute;teros inscrit&iacute;veis.&nbsp;<\/p><p class=\"wp-block-paragraph\">Essa propriedade revela que em um quadril&aacute;tero inscrito em uma <span id=\"urn:enhancement-603a45b5-3bf7-4d40-94b3-9e53df77e59a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span>, a soma dos <span id=\"urn:enhancement-295a53b6-eafc-43ee-9d43-bd85cbf2e96f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulos<\/span> opostos &eacute; 180&deg;. Assim, se em um lado do segmento temos um ponto P com &ang;APB=&alpha;, ent&atilde;o do outro lado existir&aacute; um ponto Q com &ang;AQB=180&deg;&minus;&alpha;.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"401\" height=\"371\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXeZkNWQbManGxSeqgVBP6Wz9hdjSbkH-W4bts64Z_hcNypBDuLc1tdaBPf_ReCzIoxb3XTY4s8ja1ZxdJfHSny1C_kNIMsYg23Yi78mNIqELTKpb39YkHflJHAE8-yQHEFQHFon2Q.png\" alt=\"\" class=\"wp-image-143890\" style=\"width:299px;height:auto\"><\/figure>\n<\/div><h3 class=\"wp-block-heading\" id=\"h-casos-especiais\">Casos Especiais<\/h3><p class=\"wp-block-paragraph\"><strong>Arco Capaz de 90&deg;<\/strong>:<br>Quando &alpha;=90&deg; o arco capaz <span id=\"urn:enhancement-37436d73-60f0-4ff3-abfc-efc7ae1820bb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> um semic&iacute;rculo com di&acirc;metro AB. Essa situa&ccedil;&atilde;o est&aacute; relacionada ao <span id=\"urn:enhancement-22f0c55f-d223-4ec1-ad5b-d0639e0815ef\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/teorema\">Teorema<\/span> de Tales: <em>&ldquo;Todo <span id=\"urn:enhancement-637ef4fa-e95c-4f5e-9852-f73386a55584\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span> inscrito em uma semicircunfer&ecirc;ncia com o lado AB como di&acirc;metro &eacute; um tri&acirc;ngulo ret&acirc;ngulo.&rdquo;<\/em><\/p><p class=\"wp-block-paragraph\"><strong>Arco Capaz de 180&deg;<\/strong>:<br>O <span id=\"urn:enhancement-1f4b6927-957d-48e3-a641-1f7d33a43baa\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lugar-geometrico\">lugar geom&eacute;trico<\/span> &eacute; o pr&oacute;prio segmento AB, mas exclui os extremos A e B. Isso porque o <span id=\"urn:enhancement-e63ae0a2-8096-40c1-acc8-69495e16faee\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &ang;APB seria um <span id=\"urn:enhancement-fbce3386-5d4e-4f89-86d2-c7abb4e5fd77\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> raso (linha reta).<\/p><p class=\"wp-block-paragraph\"><strong>Arco Capaz de 0&deg;<\/strong>:<br>Nesse caso, o <span id=\"urn:enhancement-2403414a-5b63-4ed9-aeeb-7b90bd1444f5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lugar-geometrico\">lugar geom&eacute;trico<\/span> corresponde &agrave; reta AB, novamente sem os pontos A e B, pois de qualquer ponto dessa reta n&atilde;o &eacute; poss&iacute;vel formar um <span id=\"urn:enhancement-6a201aeb-f011-4faa-92b0-b8acf51e42b2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> entre A e B.<\/p><h2 class=\"wp-block-heading\" id=\"h-resolucao-de-problemas-envolvendo-arco-capaz-e-principais-erros\"><span class=\"ez-toc-section\" id=\"Resolucao-de-problemas-envolvendo-arco-capaz-e-principais-erros\"><\/span>Resolu&ccedil;&atilde;o de problemas envolvendo arco capaz e principais erros<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">No <span id=\"urn:enhancement-f28fff0e-b4de-4097-b2d7-824c15c488ce\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/exame-nacional-do-ensino-medio-2\">Enem<\/span> ou em outros vestibulares os problemas, em geral, aparecem envolvendo os seguintes pontos:<\/p><ul class=\"wp-block-list\">\n<li>A determina&ccedil;&atilde;o do lugar geom&eacute;trico de pontos a partir dos quais um segmento &eacute; visto sob um certo &acirc;ngulo;<\/li>\n\n\n\n<li>A constru&ccedil;&atilde;o de tri&acirc;ngulos com um lado fixo e um &acirc;ngulo oposto dado;<\/li>\n\n\n\n<li>A prova de congru&ecirc;ncia de &acirc;ngulos usando a propriedade do arco capaz;<\/li>\n\n\n\n<li>A comprova&ccedil;&atilde;o de colinearidade de pontos, quando se deseja mostrar que um ponto n&atilde;o pertence ao arco capaz; e<\/li>\n\n\n\n<li>A combina&ccedil;&atilde;o do arco capaz com propriedades de quadril&aacute;teros inscrit&iacute;veis, teoremas de &acirc;ngulos inscritos, ou mediatrizes.<\/li>\n<\/ul><p class=\"wp-block-paragraph\">Um dos principais erros dos estudantes &eacute; n&atilde;o compreender bem o conceito de <span id=\"urn:enhancement-6685ee2e-36c3-4ddd-a10b-183235c5a25b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lugar-geometrico\">lugar geom&eacute;trico<\/span>, o que compromete a interpreta&ccedil;&atilde;o da quest&atilde;o. Tamb&eacute;m &eacute; frequente confundir o <span id=\"urn:enhancement-77686336-0c93-4b8b-968d-76bd41c88814\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> capaz com outro <span id=\"urn:enhancement-c2ce34e7-8208-4b9a-8ebc-6124eaf02e5c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span>, levando a constru&ccedil;&otilde;es ou f&oacute;rmulas inadequadas.<\/p><p class=\"wp-block-paragraph\">O estudante pode, ainda, esquecer que existem dois arcos capazes para o mesmo <span id=\"urn:enhancement-af3ad8ad-2706-4a2c-9750-eccf1d976701\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> sobre um segmento, o que pode gerar falhas na an&aacute;lise da figura. Al&eacute;m disso, muitos t&ecirc;m dificuldade na constru&ccedil;&atilde;o do centro e do <span id=\"urn:enhancement-0ea6ce7e-c9ba-4313-b599-5a62ac3228e1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/raio\">raio<\/span> da <span id=\"urn:enhancement-76d7b2c5-ea26-4773-bed2-1b00d1ce6824\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span>, especialmente ao usar mediatrizes e perpendiculares com precis&atilde;o.<\/p><h2 class=\"wp-block-heading\" id=\"h-questao-do-vestibular-envolvendo-arco-capaz\"><span class=\"ez-toc-section\" id=\"Questao-do-vestibular-envolvendo-arco-capaz\"><\/span>Quest&atilde;o do vestibular envolvendo arco capaz<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-enem-nbsp-2023\">Enem&nbsp; (2023)<\/h3><p class=\"wp-block-paragraph\">Num certo momento de um jogo digital, a tela apresenta a imagem representada na figura. O ponto Q&#8321; representa a posi&ccedil;&atilde;o de um jogador que est&aacute; com a bola, os pontos Q&#8322;, Q&#8323;, Q&#8324;, Q&#8325; e Q&#8326; tamb&eacute;m indicam posi&ccedil;&otilde;es de jogadores da mesma equipe, e os pontos A e B indicam os dois p&eacute;s da trave mais pr&oacute;xima deles. No momento da partida retratado, o jogador Q&#8321; tem a posse da bola, que ser&aacute; passada para um dos outros jogadores das posi&ccedil;&otilde;es Q&#8345;, n &isin; {2, 3, 4, 5, 6}, cujo <span id=\"urn:enhancement-d415b02e-a486-492f-83cf-d003e709462f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> <img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXcFAOi4AtTUkw7HejcsBTAxlDd3dYd9JKAGAx7csDwm8StwuJuRHnt8hCaMV4pVXYcFwkCBaTLOy_LXGpW-DPzDw2pRulDpkiDJNKetm2o9yNIDmcSQMgvio7XMeg4QFK3Oso78mQ?key=oBrfU5JRemaUByQChGqBRQ\" width=\"36\" height=\"20\"> tenha a mesma medida do <span id=\"urn:enhancement-9de5fe96-82a2-4288-a73e-407844c10084\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> <img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfuvsPXinYw3FJVfSN0--UQAfckXFFwWmy-1pBg5Qi5Ahn_QOMqvF13N0Y6d-FFxgg0qQj6Q0aZ-ankXwiLFah-VdM1q1ZOrEhPTQiiSeC_VMXpfQOdnPdILkFAlIXPkRBRferG-Q?key=oBrfU5JRemaUByQChGqBRQ\" width=\"68\" height=\"21\"><\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" width=\"400\" height=\"213\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/08\/AD_4nXe5hSbQMCbNfKMgSdo09lYJVoZYesh8_FIWKAuyzn6ei25pllf-SOlZ_VerQwb30-D_mr8Cz_qCGnrNXjW0EmfI_MkKyfpajPugw22UOD2OstqHQplHpTGDGFjQSz3YZJWNQpmq7A.png\" alt=\"\" class=\"wp-image-143893\" style=\"width:310px;height:auto\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Qual &eacute; o jogador que receber&aacute; a bola?<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>Q&#8322;<br><strong>B) <\/strong>Q&#8323;<br><strong>C) <\/strong>Q&#8324;<br><strong>D) <\/strong>Q&#8325;<br><strong>E) <\/strong>Q&#8326;<\/p><details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary><strong>Alternativa correta:<\/strong><\/summary>\n<p class=\"wp-block-paragraph\"><strong>B<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Perceba que o segmento <img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXdO-PHHCGb2BMegMv_4YOQ4QO8S_jJwY1qtpPWXjTdsk3XL8ufCAG02so6f7ouI0kqQWVg_cbvU4esUwWZQi8UiB9unvWaP-L_Cb_kwvTlZS0HjipoUAr4sut5kncFNxpBHd97imQ?key=oBrfU5JRemaUByQChGqBRQ\" width=\"21\" height=\"16\"> &eacute; comum &agrave; todas as <span id=\"urn:enhancement-7880ae6d-1471-465e-b37e-60cd5ba76525\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncias<\/span> e estas s&atilde;o arcos capazes em rela&ccedil;&atilde;o &agrave; <img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXdO-PHHCGb2BMegMv_4YOQ4QO8S_jJwY1qtpPWXjTdsk3XL8ufCAG02so6f7ouI0kqQWVg_cbvU4esUwWZQi8UiB9unvWaP-L_Cb_kwvTlZS0HjipoUAr4sut5kncFNxpBHd97imQ?key=oBrfU5JRemaUByQChGqBRQ\" width=\"21\" height=\"16\">.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O <span id=\"urn:enhancement-b6b04473-7a4f-4637-a98f-f0ad71cae04f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> <img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXe_natm9WtYH32ecUPoH5VNIVBczjLklX7O7TLAcsgn-pPaU1SYx31wStTuyUh6cxLrsGEUFIk-pgCjBg428b08IEteq_B5XHTzzF-_pcbOtUukDPuVhp9F6lLsi7S0gfNjuMjIVw?key=oBrfU5JRemaUByQChGqBRQ\" width=\"67\" height=\"18\"> &eacute; um <span id=\"urn:enhancement-019aaf7a-0ebd-4d92-b684-7fee5c8fb324\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> inscrito na <span id=\"urn:enhancement-468f3a9d-ca7f-437e-bc32-72cc21610c87\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> que passa por Q&#8321;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Qualquer <span id=\"urn:enhancement-d5e65b09-b84a-4e20-8d3b-ec3e9990aa95\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> inscrito a essa mesma <span id=\"urn:enhancement-2811fb78-0313-412d-af90-a68bbc01cfc5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> temos a mesma corda <img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXdO-PHHCGb2BMegMv_4YOQ4QO8S_jJwY1qtpPWXjTdsk3XL8ufCAG02so6f7ouI0kqQWVg_cbvU4esUwWZQi8UiB9unvWaP-L_Cb_kwvTlZS0HjipoUAr4sut5kncFNxpBHd97imQ?key=oBrfU5JRemaUByQChGqBRQ\" width=\"21\" height=\"16\">como refer&ecirc;ncia ser&aacute; igual a &alpha;.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Como Q&#8323; est&aacute; na mesma <span id=\"urn:enhancement-5885af85-8da4-46aa-95eb-b0e1df53cbbe\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circunferencia\">circunfer&ecirc;ncia<\/span> de Q&#8321;, ent&atilde;o <img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfJdn7mro3U376EagQkTqBnM6RQKCWrGfX7u8ynVoD-2AoHxD-nbFvbMtEBY3hhOCBwwyYsgrntfWkfMrs0cU4c0hvl9h4JecAefxo225_0r_VkK4wz_eQ1TbW1_r77JpVgUrgnXA?key=oBrfU5JRemaUByQChGqBRQ\" width=\"73\" height=\"22\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Portanto, o jogador Q&#8323; receber&aacute; a bola.<\/p>\n<\/details><h2 class=\"wp-block-heading\" id=\"h-prepare-se-para-o-vestibular-com-o-estrategia\"><span class=\"ez-toc-section\" id=\"Prepare-se-para-o-vestibular-com-o-Estrategia\"><\/span>Prepare-se para o vestibular com o Estrat&eacute;gia!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Nos cursos preparat&oacute;rios da Coruja, os alunos s&atilde;o treinados para conectar diferentes &aacute;reas do conhecimento e aplicar essas informa&ccedil;&otilde;es em simulados e provas.<\/p><p class=\"wp-block-paragraph\">As aulas s&atilde;o ministradas por professores especialistas, com nossos Livros Digitais Interativos (LDI), al&eacute;m de contar com simulados exclusivos. Clique no banner e comece seus estudos com o Estrat&eacute;gia Vestibulares!<\/p><p class=\"wp-block-paragraph\"><a id=\"cta\" class=\"cta-imagem\" href=\"https:\/\/vestibulares.estrategia.com\/cursos\/\" target=\"blank\">\n                <img decoding=\"async\" width=\"100%\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/12\/EV2.jpg\" alt=\"CTA - Estrat\u00e9gia Vestibulares 2\" title=\"CTA - Estrat\u00e9gia Vestibulares 2\">\n        <\/a>\n\n\n\n\n<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"Ententa o conceito de arco capaz e sua constru\u00e7\u00e3o geom\u00e9trica, veja casos especiais e aplica\u00e7\u00f5es\n","protected":false},"author":59,"featured_media":143875,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-143873","post","type-post","status-publish","format-standard","has-post-thumbnail","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Arco Capaz: teoria, casos especiais e aplica\u00e7\u00f5es<\/title>\n<meta name=\"description\" content=\"Saiba mais sobre o conceito de arco capaz e sua constru\u00e7\u00e3o geom\u00e9trica, revise conceitos fundamentais, veja casos especiais e aplica\u00e7\u00f5es.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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