Question

Given below is a semicircle of diameter 12cm which encloses two other semicircles. Find the area of shaded region.

• A. 30$c{m}^2$
• B. 21.9$c{m}^2$
• C. 28.24$c{m}^2$
• D. 16$c{m}^2$

Answer 1

The correct option is C

28.24$c{m}^2$

Area of shaded region= Area of outer semicircle- Areas of inner semicircles

= $\frac{\pi }{2}{6}^2-\frac{\pi }{2}{3}^2-\frac{\pi }{2}{3}^2$

= 56.52 – 28.28 = 28.24 $c{m}^2$