Question

if the perimeter of a semicircle Park is 72 find its area and radius

Answer 1

Given:-

Perimeter of circle = 72m

Let r be the radius of circle.

2πr/2 + 2r = 72

πr + 2r = 72

r = 72/π + 2

r = 72/(22/7 + 2)

r = 14m Ans.

Area of circle = πr²/2

= 22/7*14*14/2

= 308m² Ans.

Ans.) The area and radius of circular park is 308m² and 14m

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Answer 2

Answer:

Perimeter of a semi circular = πr +2r

πr+2r = 72

(22/7)*r + 2r = 72

22*r + 14r = 72 *7 ( multiplying both sides by 7)

36r = 72*7

r =72*7/36 = 2*7 = 14m

Area of a semi circular park = 1/2 πr^ 2

= (1/2 )(22/7) * 14*14

= 14*22 = 308

= 308 cm^2

Ans = 308 square meter

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