Question

If the perimeter of a semi circular sheet is 216m, find its area.

Answer 1

The perimeter of a semi-circular is 144cm. What is its area?

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Perimeter of semi circular = πr+2r

Where r is radius , π = 22/7

πr+2r= 216 (given)

(22/7)r +2r = 216

22r+14r = 216*7 (multiply both sides by 7)

36r = 216*7

r= 216*7/36 = 42

radius =42 cm

Area =( 1/2)πr^2

Area=( 1/2 )*(22/7)*42*42

= 2772cm^2

Ans : area is 2772cm^2