Find the area of shaded region of the figure given below.

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Solution

Total shaded area = Area of semi-circle $[A B D - A L C + C K G - B N E + E F G]$
$\begin{matrix} = \frac{π}{2} [r_{1}^{2} - r_{2}^{2} + r_{3}^{2} - r_{4}^{2} + r_{5}^{2}] = \frac{π}{2} [{5.25}^{2} - {3.5}^{2} + {8.75}^{2} - {3.5}^{2} + {3.5}^{2}] = \frac{π}{2} [27.5625 - 12.25 + 76.5625] = \frac{π}{2} \times 91.875 = 144.244 m^{2} \end{matrix}$

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