Q. 34.6( 174 Votes )

Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

Answer :

It can be observed from the figure that the radius of each semi-circle is 7 cm

Area of each semi-circle =r2

= * * (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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