Question

1. If each of the sides of the square be 10 cm. Then, find the area of shaded region. B A a) 75 cm b) 80 cm c) 100 cm d) 120 cm​

Answer 1

Given:

Side of square ABCD=10cm

Area of square ABCD=(side)2=102=100sq.cm

Given semicircle is drawn with side of square as diameter.

So, Diameter of semicircle=Side of square=10cm

Radius of semicircle=2side=210=5cm

Area of semi-circle AD=21×Area of circle

=21×πr2

=21×3.14×52=23.14×25

Since radius is same for semi-circle AD,BC,AB,CD

Area of semi circleAD=Area of semi circle BC=Area of semicircle AB

=Area of semicircle CD=23.14×25

Area of 4 semicircles−Area of shaded region