In the given figure, find the area of the shaded region, where ABCD is a square of side 14 cm and all circles are of the same diameter.
Given:
Side of square = 14 cm
Let the radius of each circle be ‘r’ cm
Then, 2r + 2r = 14 cm
4r = 14 cm
r = 
= 
Area of square = side × side = 14 × 14 = 196 cm2
∵ Area of circle = πr2
∴ Area of 4 circles = 4 × πr2
= 4 × 
× 
× 
= 22 × 7 = 154 cm2
Area of shaded region = Area of square – Area of 4 circles
= 196 -154 = 42 cm2
Hence, the area of shaded region is 42 cm2.
42