Question

In the given figure, diameter of the small circle is $36cm$ and diameter of the largest semicircle is $107cm$. Find the area of the shaded region.

Answer 1

Area of shaded region

$=\pi (\frac{108}{2}{)}^2-\pi (\frac{108}{4}{)}^2\times 2-\pi (\frac{36}{2}{)}^2=\pi [(54{)}^2-27\times 54-(18{)}^2]=\frac{22}{7}\times 1134=3564c{m}^2$