(Q11) Find the area of the shaded region in figure, where ABCD is a square of side 10 cm. and semicircles are drawn with each side of the square as diameter (use π = 3.14).

Let Us mark the four unshaded regions as I, II, III and IV

Area of I + Area of II = Area of ABCD - Area of two semicircles with radius 5 cm

= 10 × - 2 ×
1
2
 ×π×2

= - 3.14×

= - .5 = .5cm2

Similarly Area of II + Area of IV = .5cm2

So , area of the shaded region = Area of ABCD - Area of unshaded region

= -2 ×.5 = - = cm2