Question

Find the area of shaded region in the given fig. where ABCD is a square of side 10cm and semi-circles are drawn with each side of square as diameter. [$\pi =3.14$] [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 3 Marks

Area of region I + III = area of ABCD - area of two semicircles of each radius 5cm

$=10\times 10-2\times 0.5\times \pi \times 5^2$

$=21.5c{m}^2$

Similarly area of II + area IV $=21.5c{m}^2$

Area of region I, II, III, and IV $=2\times 21.5=43c{m}^2$

Thus area of shaded region = Area ABCD - Area of (I, II, III, IV)

$=100-43=57c{m}^2$