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Question
In the following figure find the area of the shaded region. (Use π = 3.14)
Solution
Area of shaded region = Area of square − Area of 4 semicircle having diameter 4 cm − Area of square having side 4 cm
\[= \left( Side \right)^2 - 4 \times \frac{1}{2}\pi r^2 - \left( side \right)^2 \]
\[ = \left( 14 \right)^2 - 2 \times 3 . 14 \times \left( \frac{4}{2} \right)^2 - 4^2 \]
\[ = 196 - 25 . 12 - 16\]
\[ = 154 . 88 {cm}^2\]
Hence, the area of shaded region is 154.88 cm2
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