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26/06/2021 1:31 pm
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Calculate the area of the designed region in Figure common between the two quadrants of circles of radius 8 cm each.
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26/06/2021 1:33 pm
AB = BC = CD = AD = 8 cm
Area of ΔABC = Area of ΔADC
= (1/2) × 8 × 8 = 32 cm2
Area of quadrant AECB = Area of quadrant AFCD
= (1/4) × 22/7 × 82
= 352/7 cm2
Area of shaded region = (Area of quadrant AECB – Area of ΔABC) = (Area of quadrant AFCD – Area of ΔADC)
= (352/7 - 32) + (352/7 - 32) cm2
= 2 × (352/7 - 32) cm2
= 256/7 cm2