{"id":13395,"date":"2018-01-29T22:49:41","date_gmt":"2018-01-29T22:49:41","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13395"},"modified":"2022-01-17T12:52:13","modified_gmt":"2022-01-17T12:52:13","slug":"qual-e-a-area-da-parte-colorida-da-figura","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13395","title":{"rendered":"Qual \u00e9 a \u00e1rea da parte colorida da figura?"},"content":{"rendered":"<p><ul id='GTTabs_ul_13395' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13395' class='GTTabs_curr'><a  id=\"13395_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13395' ><a  id=\"13395_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_13395'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13396\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13396\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\" data-orig-size=\"235,240\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Quadrado e c\u00edrculo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\" class=\"alignright wp-image-13396\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\" alt=\"\" width=\"220\" height=\"225\" \/><\/a>O quadrado [ABCD] tem 4 cm de lado e est\u00e1 inscrito numa circunfer\u00eancia de centro O.<\/p>\n<p>Qual \u00e9 a \u00e1rea da parte colorida da figura?<br \/>\nApresenta o resultado arredondado \u00e0s d\u00e9cimas.<br \/>\nMostra como chegaste \u00e0 tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13395' onClick='GTTabs_show(1,13395)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13395'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13396\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13396\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\" data-orig-size=\"235,240\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Quadrado e c\u00edrculo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\" class=\"alignright wp-image-13396\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7.png\" alt=\"\" width=\"220\" height=\"225\" \/><\/a>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo [ABD], temos:<\/p>\n<p>\\[\\overline {BD} = \\sqrt {{{\\overline {AB} }^2} + {{\\overline {AD} }^2}} = \\sqrt {{4^2} + {4^2}} = \\sqrt {32} = 4\\sqrt 2 \\]<\/p>\n<p>Em cent\u00edmetros quadrados, a \u00e1rea da parte colorida da figura \u00e9:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{A_{Colorida}}}&amp; = &amp;{{A_\\bigcirc } &#8211; {A_{\\left[ {ABCD} \\right]}}}\\\\{}&amp; = &amp;{\\pi \\times {{\\left( {\\frac{{\\sqrt {32} }}{2}} \\right)}^2} &#8211; 4 \\times 4}\\\\{}&amp; = &amp;{8\\pi &#8211; 16}\\\\{}&amp; = &amp;{8\\left( {\\pi &#8211; 2} \\right)}\\\\{}&amp; \\approx &amp;{9,1}\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13395' onClick='GTTabs_show(0,13395)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O quadrado [ABCD] tem 4 cm de lado e est\u00e1 inscrito numa circunfer\u00eancia de centro O. Qual \u00e9 a \u00e1rea da parte colorida da figura? Apresenta o resultado arredondado \u00e0s d\u00e9cimas.&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20486,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,278],"tags":[426,188],"series":[],"class_list":["post-13395","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-circunferencia"],"views":5350,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/01\/9V1Pag143-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13395","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=13395"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13395\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20486"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13395"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}