{"id":24869,"date":"2023-04-07T22:01:36","date_gmt":"2023-04-07T21:01:36","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24869"},"modified":"2023-04-07T22:12:47","modified_gmt":"2023-04-07T21:12:47","slug":"o-comprimento-do-raio-de-um-circulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24869","title":{"rendered":"O comprimento do di\u00e2metro de um c\u00edrculo"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24869' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24869' class='GTTabs_curr'><a  id=\"24869_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24869' ><a  id=\"24869_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_24869'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual \u00e9 o comprimento do di\u00e2metro de um c\u00edrculo cuja \u00e1rea \u00e9 153,86 cm<sup>2<\/sup>?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24869' onClick='GTTabs_show(1,24869)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24869'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Qual \u00e9 o comprimento do di\u00e2metro de um c\u00edrculo cuja \u00e1rea \u00e9 153,86 cm<sup>2<\/sup>?<\/p>\n<\/blockquote>\n<p><br \/>Sabe-se que a \u00e1rea de um c\u00edrculo pode ser expressa em fun\u00e7\u00e3o do comprimento do seu raio: \\({A_\\bigcirc } = \\pi {r^2}\\).<\/p>\n<p>Assim, com \\(r &gt; 0\\), vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{153,86 = \\pi {r^2}}&amp; \\Leftrightarrow &amp;{\\pi {r^2} = 153,86}\\\\{}&amp; \\Leftrightarrow &amp;{{r^2} = \\frac{{153,86}}{\\pi }}\\\\{}&amp; \\Leftrightarrow &amp;{r = \\sqrt {\\frac{{153,86}}{\\pi }} }\\\\{}&amp;{}&amp;{r \\approx 7,0}\\end{array}\\]<\/p>\n<p>Portanto, o c\u00edrculo tem, aproximadamente, 14 cm de di\u00e2metro.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24869' onClick='GTTabs_show(0,24869)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual \u00e9 o comprimento do di\u00e2metro de um c\u00edrculo cuja \u00e1rea \u00e9 153,86 cm2? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19442,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,706],"series":[],"class_list":["post-24869","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-equacao-incompleta-do-2-o-grau"],"views":104,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/Circulo_preto.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24869","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=24869"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24869\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19442"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24869"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}