Question

The perimeter of a square, whose each side is 22 cm, is same as the circumference of a circle. Find the area of the circle.

• A. $616c{m}^2$
• B. $516c{m}^2$​
• C. $716c{m}^2$​
• D. $154c{m}^2$​

Answer 1

The correct option is A $616c{m}^2$

The perimeter of the square
= 4 × side
= 4 × 22 cm
= 88 cm

Now, circumference of the circle = perimeter of the square
$\Rightarrow$ Circumference of the circle = 88 cm
$\Rightarrow 2\pi r=88cm$
$\Rightarrow 2\times \frac{22}{7}\times r=88cm$
$\Rightarrow r=88\times \frac{7}{2\times 22}$ cm = 14 cm

Area of the circle
$=\pi r^2$
$=\frac{22}{7}\times 14\times 14=616c{m}^2$