Find the area of a circle whose circumference is 22 cm. - Vidyadip

Question

Find the area of a circle whose circumference is 22 cm.

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Answer

Let r be the radius of the circle, then circumference = 2πr
⇒ 2πr = 22 cm
$\Rightarrow r =\frac{22}{2 \pi}=\frac{22 \times 7}{2 \times 22}=\frac{7}{2} cm$
$\therefore$ Area of circle $=\pi r^2$
$\therefore$ Area of circle $=\frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} cm ^2=\frac{77}{2} cm ^2$
$\therefore$ Area of circle $=38.5 cm ^2$.

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