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Question
Find the area of the shaded region in the given figure, if ABCD is a square of side 14 cm and APD and BPC are semicircles. [Use Π = 22/7]
Solution
It can be observed from the figure that the radius of each semi-circle is 7 cm.
Area of each semi-circle = `1/2 pir^2`
`= 1/2xx22/7xx(7)^2`
= 77 cm2
Area of square ABCD = (Side)2 = (14)2 = 196 cm2
Area of the shaded region
= Area of square ABCD − Area of semi-circle APD − Area of semi-circle BPC
= 196 − 77 − 77 = 196 − 154 = 42 cm2
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