Question

In the given figure, the area of the shaded portion is __________.

• A. $308c{m}^2$
• B. $462c{m}^2$
• C. $154c{m}^2$
• D. $150c{m}^2$

Answer 1

The correct option is C $154c{m}^2$

Radius of bigger semicircle is $r=14cm$

Radius of smaller semicircle is $r_1=7cm$

Area of shaded region $=$ Area of bigger semicircle $-$ Area of two smaller semicircles

Area of bigger semicircle $=\frac{\pi r^2}{2}=98\pi$

Area of two smaller semicircles $=2\times \frac{\pi r_1^2}{2}=49\pi$

$\therefore$ Area of shaded region $=49\pi =154c{m}^2$