Question

Find the area of a square inscribed in a circle of radius $5\sqrt{2}$ cm (in $c{m}^2$)

• A. 75
• B. 100
• C. 125
• D. 150

Answer 1

The correct option is B 100

The diagonal of the square will be equal to the diameter of the circle.
So,diagonal of the square $=2\times 5\sqrt{2}=10\sqrt{2}$
Diagonal of a square $=\sqrt{2}\times side$
So, $10\sqrt{2}=\sqrt{2}\times side$
$=>Side=10cm$
Area of the square $={side}^2={10}^2=100$ sq cm