{"id":13362,"date":"2018-01-28T21:18:49","date_gmt":"2018-01-28T21:18:49","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13362"},"modified":"2022-01-17T01:30:50","modified_gmt":"2022-01-17T01:30:50","slug":"quantos-lados-tem-o-poligono","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13362","title":{"rendered":"Quantos lados tem o pol\u00edgono?"},"content":{"rendered":"<p><ul id='GTTabs_ul_13362' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13362' class='GTTabs_curr'><a  id=\"13362_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13362' ><a  id=\"13362_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_13362'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A soma das amplitudes dos \u00e2ngulos internos de um pol\u00edgono convexo regular \u00e9 3780 graus.<\/p>\n<p>Quantos lados tem esse pol\u00edgono?<br \/>\nExplica como chegaste \u00e0 tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13362' onClick='GTTabs_show(1,13362)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13362'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>A soma das amplitudes, em graus, dos \u00e2ngulos internos de um pol\u00edgono convexo com \\(n\\) lados \u00e9 igual a\u00a0\\({S_i} = \\left( {n &#8211; 2} \\right) \\times 180^\\circ \\).<\/p>\n<\/blockquote>\n<p>\\[\\begin{array}{*{20}{l}}{{S_i} = 3780^\\circ }&amp; \\Leftrightarrow &amp;{\\left( {n &#8211; 2} \\right) \\times 180^\\circ = 3780^\\circ }\\\\{}&amp; \\Leftrightarrow &amp;{n = \\frac{{3780^\\circ }}{{180^\\circ }} + 2}\\\\{}&amp; \\Leftrightarrow &amp;{n = 23}\\end{array}\\]<\/p>\n<p>Portanto, o pol\u00edgono em causa tem 23 lados.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13362' onClick='GTTabs_show(0,13362)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A soma das amplitudes dos \u00e2ngulos internos de um pol\u00edgono convexo regular \u00e9 3780 graus. Quantos lados tem esse pol\u00edgono? Explica como chegaste \u00e0 tua resposta. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20474,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,278],"tags":[426,464,188],"series":[],"class_list":["post-13362","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-circunferencia-e-poligonos","tag-9-o-ano","tag-angulo-interno","tag-circunferencia"],"views":2090,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag139-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13362","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=13362"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13362\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20474"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13362"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13362"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13362"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13362"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}