Question

A polygon is drawn inside a circle of radius 7 cm.

What is the area of the shaded region (in $c{m}^2)$ if the area of the polygon is 24$pi{cm}^2$?

• A. $24\pi c{m}^2$
• B. $25\pi c{m}^2$
• C. $49\pi c{m}^2$
• D. $7\pi c{m}^2$

Answer 1

The correct option is B

$25\pi c{m}^2$

Given that area of the polygon is $24\pi c{m}^2$.

To find the area of the shaded region, we have to find the area of the circle and remove the area of the polygon from it.

Area of the circle = $\pi r^2=\pi (7{)}^2=49\pi c{m}^2$

So, area of the shaded region = $(49\pi c{m}^2-24\pi c{m}^2)=25\pi c{m}^2$