The area of a circle is $394.24$ $c m^{2}$ . Then the circumference of the circle is

116 cm.

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70.4cm.

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100cm.

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88cm.

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Solution

The correct option is D 70.4cm.
$G i v e n - t h e a r e a A o f a c i r c l e = 394.24 {c m}^{2}$

$T o f i n d o u t - t h e c i r c u m f e r e n c e C o f t h e c i r c l e = ?$

$S o l u t i o n - W e k n o w t h a t a r . c i r c l e = A = π r^{2} w h e n r = r a d i u s o f t h e c i r c l e$

$\Rightarrow r = \frac{A}{π} = \sqrt{\frac{394.24}{\frac{22}{7}}} c m = 11.2 c m . A g a i n t h e c i r c u m f e r e n c e C o f t h e c i r c l e = 2 π r$

$\Rightarrow C = 2 \times \frac{22}{7} \times 11.2 c m = 70.4 c m$

$A n s - O p t i o n B .$

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