Question

A circle with centre $O$ and radius $7cm$ is circumscribing a square $ABCD$ of side $8cm$.

Find the area of the shaded region. [Take $\pi =\frac{22}{7}$]

• A. $64c{m}^2$
• B. $154c{m}^2$
• C. $90c{m}^2$
• D. $100c{m}^2$

Answer 1

The correct option is C

$90c{m}^2$

Given: Radius of the circle, $r=7cm$

Side of the square, $s=8cm$

Area of the shaded region $=$ area of the circle $-$ area of the square

$=\pi r^2-s^2$

$=\pi \times 7\times 7-8\times 8$

$=\frac{22}{7}\times 7\times 7-64$

$=154-64=90c{m}^2$