In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircle.
Given:
Side of square = 14 cm
Diameter of each semicircle = 14 cm
Radius of each semicircle = 
= 7 cm
∵ Both the semicircles have same radius.
∴ We consider one circle of radius 7 cm.
Area of shaded region = Area of square – Area of circle ….……. (i)
Area of square = side × side
= 14 × 14 = 196 cm2
Area of circle = πr2
= 
× 7 × 7 = 22 × 7 = 154 cm2
Thus, using (i), we have
Area of shaded region = 196 – 154 = 42 cm2
Hence, the area of shaded region is 42 cm2.
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