Find the area of the shaded region in fig:- if $A B C D$ is a square of side $14 c m$ and $A P D \times B P C$ are semi circles.

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Solution

$\begin{matrix} \Rightarrow A r e a o f s q u a r e = 14 \times 14 = 196 c m^{2} \Rightarrow A r e a o f t w o S e m i c i r c l e s = π r^{2} = \frac{22}{7} \times 7 \times 7 \Rightarrow A r e a o f t w o S e m i c i r c l e s = 154 c m^{2} T h e n, s h a d e d a r e a = 196 - 154 = 42 c m^{2} A n s . \end{matrix}$

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Find the area of the shaded region in Fig, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

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