Perimeter of semicircular plate is 108 cm find area
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in a semicircular plate, perimeter = semiperimeter + diameter
let d be the diameter
p = pi*d/2 + d
=> 108 = 22/7*d/2 + d
=> 108 = 22d/14 + d
=> 108 = (22d + 14d)/14
=> 108 = (36d)/14
=> 14*108 = 36d
=> d = (108*14)/36
=> d = 42 cm
therefore r = d/2 = 21 cm
Area of semicircular plate = 1/2*pi*r^2
=> A= (22*21*21)/7*2
=> A = 11*3*21
=> A = 63*11
A = 693 sq cm
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