Question

Find the area of a square inscribed in a circle of radius $xcm$.

Answer 1

Given, Radius of circle $=x$ cm

diameter $=2x$ cm

Diameter of circle = diagonal of square

= $2x$ cm

Area of square

$=\frac{(diagonal{)}^2}{2}$

$=\frac{(2x{)}^2}{2}=\frac{4x^2}{2}$

$=2x^2$ cm