{"id":22963,"date":"2022-11-04T00:18:33","date_gmt":"2022-11-04T00:18:33","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22963"},"modified":"2022-11-07T01:08:59","modified_gmt":"2022-11-07T01:08:59","slug":"figura-constituida-por-tres-semicircunferencias","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22963","title":{"rendered":"Figura constitu\u00edda por tr\u00eas semicircunfer\u00eancias"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22963' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22963' class='GTTabs_curr'><a  id=\"22963_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22963' ><a  id=\"22963_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_22963'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22966\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=22966\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png\" data-orig-size=\"520,420\" 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=\"8_Pag030-T14-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png\" class=\"alignright wp-image-22966\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1-300x242.png\" alt=\"\" width=\"340\" height=\"275\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1-300x242.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png 520w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a>Considera a figura constitu\u00edda por tr\u00eas semicircunfer\u00eancias P<sub>1<\/sub>, P<sub>2<\/sub> e P<sub>3<\/sub>, de raios 4 m, 2 m e 8 m, respetivamente.<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Qual \u00e9 o per\u00edmetro desta figura?<br \/>Apresenta o valor exato.<\/li>\n<li>Se um jardim apresentasse esta forma, qual seria o n\u00famero m\u00ednimo (inteiro) de metros de rede que seria necess\u00e1rio comprar para o vedar?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22963' onClick='GTTabs_show(1,22963)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22963'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22966\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=22966\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png\" data-orig-size=\"520,420\" 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=\"8_Pag030-T14-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png\" class=\"alignright wp-image-22966\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1-300x242.png\" alt=\"\" width=\"340\" height=\"275\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1-300x242.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1.png 520w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a>Considera a figura constitu\u00edda por tr\u00eas semicircunfer\u00eancias P<sub>1<\/sub>, P<sub>2<\/sub> e P<sub>3<\/sub>, de raios 4 m, 2 m e 8 m, respetivamente.<\/p>\n<\/blockquote>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\n<blockquote>Qual \u00e9 o per\u00edmetro desta figura?<br \/>Apresenta o valor exato.<\/blockquote>\n<\/li>\n<li>\n<blockquote>Se um jardim apresentasse esta forma, qual seria o n\u00famero m\u00ednimo (inteiro) de metros de rede que seria necess\u00e1rio comprar para o vedar?<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Tendo em considera\u00e7\u00e3o que o per\u00edmetro do c\u00edrculo de raio \\(r\\) \u00e9 dado por \\(P = 2\\pi \\times r\\), temos (em m):<br \/>\\[{P_{{\\rm{Figura}}}} = \\frac{{2\\pi \\times 4}}{2} + \\frac{{2\\pi \\times 2}}{2} + 4 + \\frac{{2\\pi \\times 8}}{2} = 4\\pi + 2\\pi + 4 + 8\\pi = 4 + \\left( {4 + 2 + 8} \\right) \\times \\pi = 4 + 14\\pi \\]<\/li>\n<li>Como \\(14\\pi \\approx 43,98\\), seria necess\u00e1rio comprar, no m\u00ednimo, \\(48\\) metros de rede para vedar o jardim.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22963' onClick='GTTabs_show(0,22963)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera a figura constitu\u00edda por tr\u00eas semicircunfer\u00eancias P1, P2 e P3, de raios 4 m, 2 m e 8 m, respetivamente. Qual \u00e9 o per\u00edmetro desta figura?Apresenta o valor exato. Se&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":22968,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,259,266],"series":[],"class_list":["post-22963","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-numeros-irracionais","tag-numeros-reais"],"views":256,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag030-T14-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22963","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=22963"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22963\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/22968"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22963"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22963"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22963"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}