If the area of a circle is 64\pi\mathrm{\ }cm2, then its circumference is:

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Solution

Q.
If the area of a circle is $64 π c m^{2}$ then its circumference is:

1 $7 π cm$

2 $16 π cm$

3 $14 π cm$

4 $21 π cm$

Ans.
Let r be the radius of the circle. Then,

$π r^{2} = 64 π \Rightarrow r^{2} = 64 \Rightarrow r = 8 cm Circumference of the circle = 2 πr = 2 π \times 8 cm = 16 π cm$

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