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Question

The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii each 42cm. Find the area of the shaded region
565481_7401479d73c24752a98dce4394d4fe3e.png

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Solution


Area of shaded region =2×area(AOBPA)

Area AOBPA = Area of small semi-circle + Area of large semi-circle - Area of small semi-circle

= Area of large semi-circle = 12×227×42×42=2772cm2

Area of shaded region = 2×2772 = 5544cm2

946846_565481_ans_0cfcccffcb04450c8cf96efdb607b412.png

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