If the area of a circle is $25 π$ $25pi$ $c m^{2}$ $cm^2$ , what is the circle's circumference?

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If the area of a circle is $25 π$ $25pi$ $c m^{2}$ $cm^2$ , what is the circle's circumference?

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Answer 1 · 2015-06-19T16:10:22

Circumference = $10 π$ $10pi$ cm.

Explanation:

Area of circle = $π r^{2} = 25 π c m^{2}$ $pir^2 = 25 pi cm^2$
$\Rightarrow r^{2} = 25 c m^{2}$ $rArr r^2 = 25 cm^2$
$\Rightarrow r = 5 c m$ $rArr r = 5 cm$

Circumference of circle = $π 2 r = π \cdot 2 \cdot 5 c m = 10 π c m$ $pi2r = pi * 2* 5 cm = 10 pi cm$

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If the area of a circle is $25 π$ $25pi$ $c m^{2}$ $cm^2$ , what is the circle's circumference?

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