{"id":89524,"date":"2023-03-30T20:00:00","date_gmt":"2023-03-30T23:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=89524"},"modified":"2023-11-29T15:06:05","modified_gmt":"2023-11-29T18:06:05","slug":"o-que-e-poligono","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/o-que-e-poligono\/","title":{"rendered":"O que \u00e9 pol\u00edgono?&nbsp;"},"content":{"rendered":"<p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-c7764ba1-73dd-49ff-8f3f-4e7271e38266\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">Pol&iacute;gonos<\/span> s&atilde;o <span id=\"urn:enhancement-1a277ead-99ee-4b82-bf7d-a58d9eee5abe\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/figuras-geometricas\">figuras geom&eacute;tricas<\/span> constitu&iacute;das pela uni&atilde;o de diferentes segmentos de reta, de <span id=\"urn:enhancement-77b8c634-aa88-4c7b-b23b-4ea6ca650fc3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> que essas linhas est&atilde;o fechadas entre si. Por exemplo, <span id=\"urn:enhancement-73417a49-a750-4520-becc-81631c8b353d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulos, ret&acirc;ngulos<\/span>, quadrados e hex&aacute;gonos s&atilde;o <span id=\"urn:enhancement-b41f03c4-f590-4029-822c-2a4dbd658214\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">pol&iacute;gonos<\/span>, mas um semi-<span id=\"urn:enhancement-bfce09e4-9fa7-4485-97dd-2631807082b9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/circulo\">c&iacute;rculo<\/span> n&atilde;o &eacute; considerado assim, j&aacute; que possui um segmento de reta e uma linha circular. Continue lendo e saiba mais!<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\/o-que-e-poligono\/#O-que-e-poligono-conceitos-e-definicoes\" >O que &eacute; pol&iacute;gono: conceitos e defini&ccedil;&otilde;es<\/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\/o-que-e-poligono\/#Classificacao-e-nomenclatura-dos-poligonos\" >Classifica&ccedil;&atilde;o e nomenclatura dos pol&iacute;gonos&nbsp;<\/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\/o-que-e-poligono\/#O-que-e-poligono-formulas\" >O que &eacute; pol&iacute;gono: f&oacute;rmulas<\/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\/o-que-e-poligono\/#Questao-de-vestibular\" >Quest&atilde;o de vestibular<\/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\/o-que-e-poligono\/#Estude-para-as-provas-com-a-Coruja\" >Estude para as provas com a Coruja!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-poligono-conceitos-e-definicoes\"><span class=\"ez-toc-section\" id=\"O-que-e-poligono-conceitos-e-definicoes\"><\/span>O que &eacute; pol&iacute;gono: conceitos e defini&ccedil;&otilde;es<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A origem da palavra <span id=\"urn:enhancement-2afa206d-e224-4e57-a5a2-ab8620e110d8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> faz men&ccedil;&atilde;o a <em>poly<\/em> (do grego, v&aacute;rios) e <em>gonia <\/em>(do grego, &acirc;ngulos); ou seja, s&atilde;o figuras da <a href=\"https:\/\/www.youtube.com\/watch?v=nXHNGIy3ry4\" target=\"_blank\">geometria plana<\/a> que possuem v&aacute;rios &acirc;ngulos. &Eacute; determinado que os &acirc;ngulos se formam entre dois segmentos de reta, consequentemente, os <span id=\"urn:enhancement-9c372769-71fd-4dfd-8037-53b2ca72a5fc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">pol&iacute;gonos<\/span> t&ecirc;m v&aacute;rios lados.<\/p><p class=\"wp-block-paragraph\">Note que cada lado &eacute; representado por um segmento de <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/retas\/\">reta <\/a>e o n&uacute;mero m&iacute;nimo de lados para um <span id=\"urn:enhancement-0c2a6b1a-609e-415a-8c9b-2ca60168f0ac\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> &eacute; tr&ecirc;s. Afinal, n&atilde;o h&aacute; como construir uma <span id=\"urn:enhancement-001f91fa-04fa-4637-bad7-12e699aa55f2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> <span id=\"urn:enhancement-3ed55237-7731-42d3-b157-6f9f03e6aea2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">geom&eacute;trica<\/span> fechada com apenas duas linhas, o m&aacute;ximo que se consegue s&atilde;o letras &ldquo;V&rdquo;.<\/p><p class=\"wp-block-paragraph\">Outro crit&eacute;rio que define o que &eacute; <span id=\"urn:enhancement-13a40862-30b7-4d39-bc64-e6a78e134bd2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> &eacute; o n&atilde;o cruzamento entre os segmentos de reta. Ou seja, as linhas n&atilde;o podem atravessar entre si, mas apenas tocaram-se no come&ccedil;o e no final. Acompanhe, na imagem abaixo, exemplos disso.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/Qg339HCEwylYisUW24UJqb6QuDjJSEmEzHrNdxIIBsiKytk0bfWEVJPAiIY1nV8a3FgAsVkNhTLELH7b2gGsq6NSAj_79iw6QwYXxge_u1iNgbfvcNp-JUuxyc82DYmQRgsUb37rbbowo8cTTDxY4tk\" alt=\"o que &eacute; pol&iacute;gono: como identificar\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Na figura A voc&ecirc; pode perceber que um dos segmentos de reta n&atilde;o toca seu vizinho, o que deixa o desenho &ldquo;aberto&rdquo;, essa caracter&iacute;stica exclui a possibilidade de classificar A como um <span id=\"urn:enhancement-7ec853ba-8a65-44b5-94eb-40c853d24277\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>. J&aacute; no segundo exemplo (B), embora todas as linhas fa&ccedil;am contato entre si, formando uma imagem fechada, h&aacute; o cruzamento entre dois segmentos, o que tamb&eacute;m exclui B da categoria de <span id=\"urn:enhancement-68013925-cbff-440b-8bbc-dabc68bfab88\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>.<\/p><p class=\"wp-block-paragraph\">Em C, por outro lado, as linhas est&atilde;o fechadas entre si e n&atilde;o h&aacute; cruzamento entre elas. Entretanto, um dos lados est&aacute; completado por meio de uma linha curva e, obrigatoriamente, o <span id=\"urn:enhancement-721d5b08-e426-4448-af3c-e3f6d3cee45c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> s&oacute; possui lados retos &mdash; C tamb&eacute;m n&atilde;o &eacute; um <span id=\"urn:enhancement-206e1ff8-c968-4d31-8742-31ea979ef304\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>. Por fim, em D, h&aacute; o fechamento da <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/figuras-geometricas\/\" target=\"_blank\">figura geom&eacute;trica<\/a>, os lados s&atilde;o todos segmentos de reta e nenhuma linha se cruza, ent&atilde;o D &eacute; um <span id=\"urn:enhancement-ac7c0a8d-ebfc-46f9-a7a5-d18944fa685b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>.<\/p><h3 class=\"wp-block-heading\" id=\"h-elementos-de-um-poligono\">Elementos de um pol&iacute;gono<\/h3><p class=\"wp-block-paragraph\">Al&eacute;m dos lados propriamente ditos, os <span id=\"urn:enhancement-1ad4fc7a-fc11-4636-a01b-eb946d2e761e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">pol&iacute;gonos<\/span> s&atilde;o formados por outras <span id=\"urn:enhancement-07608978-25d9-4d09-95f1-72a988b645ab\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/estruturas\">estruturas<\/span>, que est&atilde;o descritas abaixo.<\/p><ul class=\"wp-block-list\">\n<li>Como vimos. os <strong>lados <\/strong>s&atilde;o os segmentos de reta que delimitam o pol&iacute;gono, s&atilde;o essenciais para a base estrutural da figura geom&eacute;trica;<\/li>\n\n\n\n<li>O ponto de encontro entre os lados consecutivos forma o <strong>v&eacute;rtice<\/strong>;<\/li>\n\n\n\n<li>Entre dois lados consecutivos &eacute; poss&iacute;vel medir o grau de abertura. Quando essa medida &eacute; feita no lado interno do pol&iacute;gono, encontra-se o <strong>&acirc;ngulo interno<\/strong>;<\/li>\n\n\n\n<li>Quando &eacute; medida a abertura em graus entre dois lados, mas do lado externo, ent&atilde;o mede-se o <strong>&acirc;ngulo externo<\/strong> do pol&iacute;gono;<\/li>\n\n\n\n<li>Por fim, &eacute; poss&iacute;vel tra&ccedil;ar <strong>diagonais<\/strong> dentro do pol&iacute;gono. Elas s&atilde;o os segmentos de reta que ligam dois v&eacute;rtices n&atilde;o consecutivos na figura.&nbsp;<\/li>\n<\/ul><h2 class=\"wp-block-heading\" id=\"h-classificacao-e-nomenclatura-dos-poligonos-nbsp\"><span class=\"ez-toc-section\" id=\"Classificacao-e-nomenclatura-dos-poligonos\"><\/span>Classifica&ccedil;&atilde;o e nomenclatura dos pol&iacute;gonos&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-quanto-ao-numero-de-lados-nbsp\">Quanto ao n&uacute;mero de lados&nbsp;<\/h3><p class=\"wp-block-paragraph\">Os <span id=\"urn:enhancement-366c1c0b-7ca0-49ea-9cac-70fd23605ace\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">pol&iacute;gonos<\/span> podem ser classificados conforme seu n&uacute;mero de lados e, inclusive, esse aspecto &eacute; quem confere a nomenclatura dessas <span id=\"urn:enhancement-52191c0c-ce90-471b-bd77-dc8e15142009\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/figuras-geometricas\">figuras geom&eacute;tricas<\/span>. Em geral, a <span id=\"urn:enhancement-52225201-5d93-4d75-aeef-13cc3178313b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/expressoes-algebricas\">regra<\/span> do nome faz men&ccedil;&atilde;o ao sufixo da l&iacute;ngua portuguesa que faz refer&ecirc;ncia ao n&uacute;mero de lados daquele <span id=\"urn:enhancement-62573a48-2754-48ae-8b49-43394bb5b576\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Por exemplo, o sufixo hexa- faz men&ccedil;&atilde;o ao n&uacute;mero 6, ent&atilde;o, um <span id=\"urn:enhancement-9d4bb397-28e5-4f4a-b5ef-c755acee475c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> com seis lados deve admitir o &ldquo;hexa&rdquo; como parte da nomenclatura. Depois, o nome &eacute; completado com &ldquo;gono&rdquo;, que tamb&eacute;m tem origem grega (<em>gonia <\/em>&rarr; &acirc;ngulo). Diante disso, o <span id=\"urn:enhancement-1c555c04-89dd-4961-a337-a3a14c16f706\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> ser&aacute; chamado de hex&aacute;gono. Agora, acompanhe a tabela com outros exemplos.&nbsp;<\/p><figure class=\"wp-block-table\"><table><tbody><tr><td>N&uacute;mero de lados<\/td><td>Sufixo<\/td><td>Nomenclatura<\/td><\/tr><tr><td>3<\/td><td>tri-<\/td><td><span id=\"urn:enhancement-403a320b-e17c-4447-83c1-31aa1c651356\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">Tri&acirc;ngulo<\/span><\/td><\/tr><tr><td>4<\/td><td>quadr-<\/td><td>Quadril&aacute;tero<\/td><\/tr><tr><td>5<\/td><td>pent-<\/td><td>Pent&aacute;gono<\/td><\/tr><tr><td>6<\/td><td>hex-<\/td><td>Hex&aacute;gono<\/td><\/tr><tr><td>7<\/td><td>hept-<\/td><td>Hept&aacute;gono<\/td><\/tr><tr><td>8<\/td><td>oct-<\/td><td>Oct&aacute;gono<\/td><\/tr><tr><td>9<\/td><td>ene-<\/td><td>Ene&aacute;gono<\/td><\/tr><tr><td>10<\/td><td>dec-<\/td><td>Dec&aacute;gono<\/td><\/tr><tr><td>11<\/td><td>undec-<\/td><td>Undec&aacute;gono<\/td><\/tr><tr><td>12<\/td><td>dodec-<\/td><td>Dodec&aacute;gono<\/td><\/tr><tr><td>20<\/td><td>icos-<\/td><td>Icos&aacute;gono<\/td><\/tr><\/tbody><\/table><\/figure><h3 class=\"wp-block-heading\" id=\"h-quanto-a-convexidade\">Quanto &agrave; convexidade<\/h3><p class=\"wp-block-paragraph\">A convexidade &eacute; uma caracter&iacute;stica que relaciona o trajeto entre dois pontos A e B que estejam dentro do <span id=\"urn:enhancement-5495ce65-bd62-42d5-9f35-7812e88b09d6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>. Deve-se escolher aleatoriamente dois pontos <span id=\"urn:enhancement-470bb1e3-e0d7-4dbf-9cc3-90dac8b81d90\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">geom&eacute;tricos<\/span> e cham&aacute;-los de A e B. A partir disso, tra&ccedil;ar uma reta que ligue esses dois pontos.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/nhAqPmnI2Na1LHeLdx2S7BUnvKajBcgqtKMwhO1_AR-q19JtziHxideknzG683Sr8gHFSbFjpDFtlV-a9YGpa2HRaW1VlVSNvzn5z3W49kWlhhxBuqEY6MJk2zNltQlLBhZoncaA3ZnY-TCNiIdcgvE\" alt=\"Pol&iacute;gonos convexos\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Quando quaisquer que sejam os pontos, a reta de liga&ccedil;&atilde;o fica sempre dentro do <span id=\"urn:enhancement-1d13be00-e035-48c6-9653-1336d16219c2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>, classifica-o como <span id=\"urn:enhancement-7667951e-cf41-405e-993e-b07e8c845a10\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> convexo. Por outro lado, se em algum caso esse a reta passar por partes externas &agrave; margem poligonal, ent&atilde;o &eacute; um <span id=\"urn:enhancement-f1ba6676-c04d-4874-b087-9e09cfb0ea80\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> n&atilde;o convexo.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-quanto-a-regularidade\">Quanto &agrave; regularidade<\/h3><p class=\"wp-block-paragraph\">Um <span id=\"urn:enhancement-7af1dd89-378e-4f13-ace9-57e05860cdcf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> pode ser considerado n&atilde;o regular ou regular, a depender de como os &acirc;ngulos est&atilde;o distribu&iacute;dos dentro dele. Os <span id=\"urn:enhancement-248d8a63-615a-4a64-80d3-02ba934c0b26\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">pol&iacute;gonos<\/span> n&atilde;o regulares s&atilde;o aqueles em que pelo menos um dos &acirc;ngulos tenha um valor diferente dos outros. Por exemplo, um <span id=\"urn:enhancement-db515610-740b-4194-964a-6ffeeb34ba6e\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span> pode ter dois &Acirc;ngulos de 45&ordm;, que s&atilde;o congruentes, mas o outro ter&aacute; 90&ordm;, ent&atilde;o &eacute; um <span id=\"urn:enhancement-38317333-b86e-474b-b47c-73537a01662f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> n&atilde;o regular.&nbsp;<\/p><p class=\"wp-block-paragraph\">Ent&atilde;o os <span id=\"urn:enhancement-a71c2f34-9f14-4928-8da2-a2a63c5e2c83\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligonos\">pol&iacute;gonos<\/span> regulares s&atilde;o exatamente o contr&aacute;rio, quando todos os &acirc;ngulos da figura <span id=\"urn:enhancement-080fb9e1-0475-48fa-b52b-020c4ffff2b2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">geom&eacute;trica<\/span> tem o mesmo valor. A depender da figura <span id=\"urn:enhancement-3ba6798a-6035-48e1-94e3-f811954dc033\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">geom&eacute;trica<\/span> em quest&atilde;o, isso tamb&eacute;m pode significar que todos os lados t&ecirc;m o mesmo tamanho &mdash; essa afirma&ccedil;&atilde;o &eacute; particularmente &uacute;til para os tri&acirc;ngulos regulares, que possuem lados iguais e tr&ecirc;s &acirc;ngulos de 60&ordm;.<\/p><h2 class=\"wp-block-heading\" id=\"h-o-que-e-poligono-formulas\"><span class=\"ez-toc-section\" id=\"O-que-e-poligono-formulas\"><\/span>O que &eacute; pol&iacute;gono: f&oacute;rmulas<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A soma dos &acirc;ngulos internos de um <span id=\"urn:enhancement-9121f42d-890f-485b-b6c4-40fffdfa7a68\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> (S<sub>i<\/sub>) ser&aacute; dada por S<sub>i <\/sub>= (n-2).180&ordm;, de <span id=\"urn:enhancement-53850dfc-2535-4e50-9a62-597aace1ef06\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> que n = n&uacute;mero de lados do <span id=\"urn:enhancement-611557c1-8fbe-433c-a6da-61a99c4dae5e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>. Isso significa que um <span id=\"urn:enhancement-b0062908-1c17-4b97-93b5-8f1759e63df1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span> ter&aacute;:&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i <\/sub>= (n-2).180&ordm;<\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i <\/sub>= (3-2).180&ordm;<\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i <\/sub>= 1.180&ordm; = 180&ordm;<\/p><p class=\"wp-block-paragraph\">J&aacute; a soma dos &acirc;ngulos externos de um <span id=\"urn:enhancement-9c24bade-dbbd-4b24-b55b-9a91e84edcc8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> ser&aacute; sempre 360&ordm;. Em um <span id=\"urn:enhancement-48d8f51f-df56-4fc5-9844-ea2fda5a09c6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> regular, ent&atilde;o, o valor de cada &acirc;ngulo ser&aacute; dado por 360\/n, em que n &eacute; o n&uacute;mero de lados da figura em quest&atilde;o.<\/p><p class=\"wp-block-paragraph\">O n&uacute;mero de diagonais que podem ser encontradas em um <span id=\"urn:enhancement-5ac3fe3b-b118-4eba-949f-df11cef4b049\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span> tamb&eacute;m pode ser calculado por meio de f&oacute;rmulas. O c&aacute;lculo se baseia em:<\/p><p class=\"has-text-align-center wp-block-paragraph\">d = n.(n-3)\/ 2<\/p><h2 class=\"wp-block-heading\" id=\"h-questao-de-vestibular\"><span class=\"ez-toc-section\" id=\"Questao-de-vestibular\"><\/span>Quest&atilde;o de vestibular<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">(<span id=\"urn:enhancement-faeb9196-a29b-4ec8-801d-cd5c453fc515\" class=\"textannotation disambiguated wl-organization\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/puc\">PUC<\/span>-RJ) Os &acirc;ngulos internos de um quadril&aacute;tero medem 3x &ndash; 45, 2x + 10, 2x + 15 e x + 20 graus. O menor &acirc;ngulo mede:<\/p><p class=\"wp-block-paragraph\">A) 90&deg;.<br>B) 65&deg;.<br>C) 45&deg;.<br>D) 105&deg;.<br>E) 80&deg;.<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>S<sub>i <\/sub>= (n-2).180&ordm; &nbsp; em que n=4<\/strong><\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i <\/sub>= (4-2).180&ordm;<\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i <\/sub>= 2.180&ordm;<\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i <\/sub>= 360&ordm;<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>S<sub>i <\/sub>= 3x &ndash; 45 + 2x + 10 + 2x + 15 + x + 20<\/strong><\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i<\/sub> = 8x &ndash; 45&nbsp; + 10 + 15 + 20<\/p><p class=\"has-text-align-center wp-block-paragraph\">S<sub>i<\/sub> = 8x &ndash; 45&nbsp; + 45<\/p><p class=\"has-text-align-center wp-block-paragraph\">Si = 8x&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">360 = 8x<\/p><p class=\"has-text-align-center wp-block-paragraph\">90 = 2x&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">x = 45<\/p><p class=\"wp-block-paragraph\">Os &acirc;ngulos ser&atilde;o:<\/p><ul class=\"wp-block-list\">\n<li>3x &ndash; 45 = 135 &ndash; 45 = 90&deg;<\/li>\n\n\n\n<li>2x + 10 = 90 + 10 = 100&deg;<\/li>\n\n\n\n<li>2x + 15 = 90 + 15 = 105&deg;<\/li>\n\n\n\n<li>x + 20 = 45 + 20 = 65&deg; (menor &acirc;ngulo, conforme alternativa B).<\/li>\n<\/ul><h2 class=\"wp-block-heading\" id=\"h-estude-para-as-provas-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-para-as-provas-com-a-Coruja\"><\/span>Estude para as provas com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O Estrat&eacute;gia Vestibulares cont&eacute;m cursos completos baseados nos conte&uacute;dos mais recorrentes nas provas, com a possibilidade de escolher pacotes voltados para o curso de sua prefer&ecirc;ncia. Assim, voc&ecirc; pode aprofundar o conhecimento na &aacute;rea de estudo que mais &eacute; cobrada para a profiss&atilde;o dos seus sonhos. Quer saber mais? Clique no banner abaixo!<\/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\/EV4.jpg\" alt=\"CTA - Estrat\u00e9gia Vestibulares 4\" title=\"CTA - Estrat\u00e9gia Vestibulares 4\">\n        <\/a>\n\n\n<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"Pol&iacute;gonos s&atilde;o figuras geom&eacute;tricas constitu&iacute;das pela uni&atilde;o de diferentes segmentos de reta, de forma que essas linhas est&atilde;o&hellip;\n","protected":false},"author":23,"featured_media":89512,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-89524","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>O que \u00e9 pol\u00edgono?&nbsp;<\/title>\n<meta name=\"description\" content=\"Entenda o que \u00e9 pol\u00edgono: figura geom\u00e9trica constitu\u00edda pela uni\u00e3o de diferentes segmentos de reta, que est\u00e3o fechados entre si.\" \/>\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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