Question

In the given figure, the area of the shaded region (in $c{m}^2$), is :

• A. $324$
• B. $428$
• C. $462$
• D. $500$

Answer 1

The correct option is C $462$

We know that the area of semicircle

$=\frac{1}{2}\pi r^2$

Therefore, the area of the shaded region

$=\frac{1}{2}\pi \times 7^2+\frac{1}{2}\pi \times 7^2+\frac{1}{2}\pi \times {14}^2$

$=\frac{\pi }{2}[49+49+196]$

$=\frac{22}{2\times 7}\times 294$

$=462c{m}^2$.