Question

The perimeter of a semicircle is 108 cm . What is the perimeter of the square drawn on the diameter of the semicircle

Answer 1

Circumference of a circle is 2πr.
Perimeter of a semicirle is πr+2r
22/7*r + 2r = 108.
(22r + 14r)/7 = 108
36r = 108*7
r = (108*7)/36
r = 3*7
r = 21cm.
Therefore, diameter = 42cm

Perimeter of a square is 4 times diameter, 4*42 = 168cm

Answer 2

Answer:

Step-by-step explanation:

Circumference of a circle is 2πr.

Perimeter of a semicirle is πr+2r

22/7*r + 2r = 108.

(22r + 14r)/7 = 108

36r = 108*7

r = (108*7)/36

r = 3*7

r = 21cm.

Therefore, diameter = 42cm