The adjacent figure consists of four semi circles of equal raddi and two big semi circles of equal raddi (each 42cm)find the area of the shaded region
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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 =
2
1
×
7
22
×42×42=2772cm
2
∴ Area of shaded region = 2×2772 = 5544cm
2
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