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
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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