Question

find the area of the square that can be inscribed in circle of radius 8 cm

Answer 1

Circumference of circle=perimeter of square
$2\pi \: r = 4 \times side$
$2 \times \frac{22}{7} \times 8 = 4 \times side \\ side = \frac{88}{7}$
$area \: of \: square = {side}^{2}$
${ \frac{88}{7} }^{2} = \frac{7744}{49} \\ = 158.04 {cm}^{2}$