Question

Find the area of the shaded region in figure if ABCD is a square of side 7cm and APD and BPC are semicircles

Answer 1

Given :  ABCD is a square of side 7cm and APD and BPC are semicircles

To find : area of Shaded region

Solution:

Area of Square  ABCD  = Side² = 7²  = 49 cm²

AD = BC = 7 cm = Diameter of Semicircle

=> Radius of Semicircle = 7/2  cm

Area of Each semicircle = (1/2)π(7/2)²

Area of both semicircle  = 2 *  (1/2)π(7/2)²  

= π(7/2)²  

using π = 22/7

= (22/7)(7/2)²  

= 11 * 7 / 2

= 38.5 cm²

Area of Shaded region =  area of Square - Area of both semicircle

= 49 - 38.5

= 10.5  cm²  

10.5  cm²   is the area of the shaded region

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