the length of a chain used as the boundary of a semicircular park is 36 metre find the area of the park
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Perimeter of a semicircle is the sum of half of the perimeter of the circle and the diameter. If r and d be the radius and diameter of the semicircle then
1/2(2πr)+d = 36
πr+d = 36
πr + 2r = 36
22r/7 + 2r = 36
(22r+14r) / 7 = 36
36r = 36*7
r = 7
area of semicircle = 1/2(πr²)
= 1/2 * 22/7 * 7 * 7
= 11 * 7
= 77 msq
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