{"id":13381,"date":"2018-01-29T18:31:28","date_gmt":"2018-01-29T18:31:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13381"},"modified":"2022-01-17T11:15:24","modified_gmt":"2022-01-17T11:15:24","slug":"qual-e-o-poligono-regular","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13381","title":{"rendered":"Qual \u00e9 o pol\u00edgono regular?"},"content":{"rendered":"<p><ul id='GTTabs_ul_13381' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13381' class='GTTabs_curr'><a  id=\"13381_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13381' ><a  id=\"13381_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_13381'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual \u00e9 o pol\u00edgono regular em que a soma das amplitudes dos \u00e2ngulos internos \u00e9:<\/p>\n<ol>\n<li>720 graus?<\/li>\n<li>1260 graus?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13381' onClick='GTTabs_show(1,13381)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13381'>\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<ol>\n<li><img decoding=\"async\" class=\"alignright\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/3\/38\/Regular_polygon_6_annotated.svg\/142px-Regular_polygon_6_annotated.svg.png\" \/>Trata-se de um hex\u00e1gono regular, pois possui seis lados:<br \/>\n\\[\\begin{array}{*{20}{l}}{{S_i} = 720^\\circ }&amp; \\Leftrightarrow &amp;{\\left( {n &#8211; 2} \\right) \\times 180^\\circ = 720^\\circ }\\\\{}&amp; \\Leftrightarrow &amp;{n = \\frac{{720^\\circ }}{{180^\\circ }} + 2}\\\\{}&amp; \\Leftrightarrow &amp;{n = 6}\\end{array}\\]<br \/>\n\u00ad<\/li>\n<li><img decoding=\"async\" class=\"alignright\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/ba\/Regular_polygon_9_annotated.svg\/145px-Regular_polygon_9_annotated.svg.png\" \/>Trata-se de um ene\u00e1gono regular, pois possui nove lados:<br \/>\n\\[\\begin{array}{*{20}{l}}{{S_i} = 1260^\\circ }&amp; \\Leftrightarrow &amp;{\\left( {n &#8211; 2} \\right) \\times 180^\\circ = 1260^\\circ }\\\\{}&amp; \\Leftrightarrow &amp;{n = \\frac{{1260^\\circ }}{{180^\\circ }} + 2}\\\\{}&amp; \\Leftrightarrow &amp;{n = 9}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13381' onClick='GTTabs_show(0,13381)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual \u00e9 o pol\u00edgono regular em que a soma das amplitudes dos \u00e2ngulos internos \u00e9: 720 graus? 1260 graus? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20480,"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-13381","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":2119,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13381","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=13381"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13381\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20480"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13381"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13381"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13381"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}