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	<title>Geometria analítica - Histórico de revisões</title>
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	<updated>2026-07-30T19:37:53Z</updated>
	<subtitle>Histórico de edições para esta página nesta wiki</subtitle>
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	<entry>
		<id>http://www.mysolutions.tecnico.ulisboa.pt//wiki/index.php?title=Geometria_anal%C3%ADtica&amp;diff=2170&amp;oldid=prev</id>
		<title>Ist25379: Circunferência, superfícies e volumes de círculos ou esferas</title>
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		<updated>2016-09-18T22:13:57Z</updated>

		<summary type="html">&lt;p&gt;Circunferência, superfícies e volumes de círculos ou esferas&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nova&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:420px&amp;quot;&amp;gt;&lt;br /&gt;
'''Metadata'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*CONTEXTO : Primeiro ciclo universitário&lt;br /&gt;
*AREA: Física&lt;br /&gt;
*DISCIPLINA: Mecânica e ondas&lt;br /&gt;
*ANO: 1&lt;br /&gt;
*LINGUA: pt&lt;br /&gt;
*AUTOR: Nuno Pinhão&lt;br /&gt;
*MATERIA PRINCIPAL: Revisões de conceitos de Matemática&lt;br /&gt;
*DESCRICAO: Geometria Analítica&lt;br /&gt;
*DIFICULDADE: *&lt;br /&gt;
*TEMPO MEDIO DE RESOLUCAO: 30 [s]&lt;br /&gt;
*TEMPO MAXIMO DE RESOLUCAO: 60 [s]&lt;br /&gt;
*PALAVRAS CHAVE: Circunferência, círculo, esfera.&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Qual é o perímetro de uma circunferência de raio \(r\)?&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:210px&amp;quot;&amp;gt;&lt;br /&gt;
'''Respostas'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
a) \( \pi r^2 \)&lt;br /&gt;
&lt;br /&gt;
b) \( 2\pi r \)&lt;br /&gt;
&lt;br /&gt;
c) \( 4\pi r \)&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Qual a área do círculo circunscrito por essa circunferência?&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:210px&amp;quot;&amp;gt;&lt;br /&gt;
'''Respostas'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
a) \( \pi r^2 \)&lt;br /&gt;
&lt;br /&gt;
b) \( \dfrac{r\times r}{2\pi} \)&lt;br /&gt;
&lt;br /&gt;
c) \( 2\pi r^2 \)&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Qual o volume de uma esfera de raio \(r\)?&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:210px&amp;quot;&amp;gt;&lt;br /&gt;
'''Respostas'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
a) \( \dfrac{3}{4}\pi r^3 \)&lt;br /&gt;
&lt;br /&gt;
b) \( 4\pi r^3 \)&lt;br /&gt;
&lt;br /&gt;
c) \( \dfrac{4}{3}\pi r^3 \)&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
e a superfície de uma esfera?&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:210px&amp;quot;&amp;gt;&lt;br /&gt;
'''Respostas'''&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
a) \( 4\pi r^2 \)&lt;br /&gt;
&lt;br /&gt;
b) \( \pi r^2 \)&lt;br /&gt;
&lt;br /&gt;
c) \( \dfrac{4}{3}\pi r^2 \)&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ist25379</name></author>
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