Question

The shape consists of a square and a semicircle. The perimeter is 22 cm. Find the radius of the semicircle and the area of the shape. ​

Answer 1

Perimeter of the circle=2πr

perimeter=22cm

22cm=2*22/7 *r

r=3.5 cm

Combine area =area of square+area of semicircle

Length of square = radius * 2 = 3.5*2 = 7cm

Area of square= a^3 = 7*7*7= 343cm^2

Area of semicircle=1/2πr^2

=1/2×22/7×3.5×3.5=19.25cm^2

combine area= 362.25cm^2