Find the perimeter of shaded region in the figure, if ABCD is a square of side 14 cm and APB and CPD are semicircles.
Given:
Side of square = 14 cm
Diameter of semi circle = 14 cm
⇒ Radius of semi circle = = 7 cm
∵ There are 2 semi circles of same radius.
∴ We consider it as one circle with radius 7 cm.
So,
Perimeter of 2 semicircles = Perimeter of circle = 2πr
= 2 × × 7
= 2 × 22 = 44 cm
Perimeter of shaded region = Perimeter of 2 semicircles + 2 × Side of Square = 44 + 2 × 14 = 44 + 28 = 72 cm
Hence, the area of the shaded region is 72 cm.