Question

In figure APB and AQP are semicircles and AO=OB. if the perimeter of the figure is 40 cm, find the area of the shaded region

Answer 1

Answer:

84.78 cm²

Step-by-step explanation:

let radius = r

(Considering curved area)

Perimeter of curved area = 3/4 * 2πr = 1.5πr

Perimeter of figure = 1.5πr + OB + OQ = 1.5πr + 2r = r(1.5π+2) = 6.71r = 40cm

r= 40 * 7/47 ≈ 6

area of region = 3/4*πr² = 27π = 84.78 cm²

Answer 2

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