{"id":23007,"date":"2022-11-05T00:29:53","date_gmt":"2022-11-05T00:29:53","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23007"},"modified":"2022-11-08T21:58:13","modified_gmt":"2022-11-08T21:58:13","slug":"uma-atleta-treina-de-bicicleta","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23007","title":{"rendered":"Uma atleta treina de bicicleta"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23007' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23007' class='GTTabs_curr'><a  id=\"23007_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23007' ><a  id=\"23007_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_23007'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23009\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23009\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png\" data-orig-size=\"580,520\" 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_Pag033-6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png\" class=\"alignright wp-image-23009\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6-300x269.png\" alt=\"\" width=\"320\" height=\"287\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6-300x269.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png 580w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a>Uma atleta treina de bicicleta ao redor de uma pista com forma e as dimens\u00f5es abaixo.<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Qual \u00e9 a dist\u00e2ncia, arredondada \u00e0s unidades, percorrida pela atleta ao fim de uma volta completa?<\/li>\n<li>A roda da bicicleta da atleta tem 35 cm de raio.<br \/>Quantas voltas completas faz cada roda da bicicleta quando a atleta d\u00e1 uma volta \u00e0 pista?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23007' onClick='GTTabs_show(1,23007)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23007'>\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_Pag033-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23009\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23009\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png\" data-orig-size=\"580,520\" 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_Pag033-6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png\" class=\"alignright wp-image-23009\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6-300x269.png\" alt=\"\" width=\"320\" height=\"287\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6-300x269.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6.png 580w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a>Uma atleta treina de bicicleta ao redor de uma pista com forma e as dimens\u00f5es abaixo.<\/p>\n<\/blockquote>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\n<blockquote>Qual \u00e9 a dist\u00e2ncia, arredondada \u00e0s unidades, percorrida pela atleta ao fim de uma volta completa?<\/blockquote>\n<\/li>\n<li>\n<blockquote>A roda da bicicleta da atleta tem 35 cm de raio.<br \/>Quantas voltas completas faz cada roda da bicicleta quando a atleta d\u00e1 uma volta \u00e0 pista?<\/blockquote>\n<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>Ao fim de uma volta completa, a atleta percorre uma dist\u00e2ncia de 233 metros, aproximadamente:<br \/>\\[{P_{{\\rm{Pista}}}} = 2\\pi \\times 18 + 2 \\times 60 = 120 + 36\\pi \\approx 233\\]<\/li>\n<li>Quando a atleta d\u00e1 uma volta \u00e0 pista, cada roda da bicicleta faz 105 voltas completas:<br \/>\\[{N_{{\\rm{Voltas}}}} = \\frac{{120 + 36\\pi }}{{2 \\times \\pi \\times 0,35}} = \\frac{{120 + 36\\pi }}{{0,7 \\times \\pi }} \\approx 105,996\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23007' onClick='GTTabs_show(0,23007)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma atleta treina de bicicleta ao redor de uma pista com forma e as dimens\u00f5es abaixo. Qual \u00e9 a dist\u00e2ncia, arredondada \u00e0s unidades, percorrida pela atleta ao fim de uma volta&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23010,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,450],"series":[],"class_list":["post-23007","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-operacoes-com-numeros-reais"],"views":273,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag033-6_52x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23007","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=23007"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23007\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23010"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23007"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23007"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23007"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}