Calculate the area of the designed region in Fig. 12.34 common between the two quadrants of circles of radius 8 cm each
Radius of sector = length of square = r = 8 cm
Area of shaded region = 2 × (area of quarter circle - area of right angled triangle)
= 2 × [(1/4)πr2 - (1/2) × 8 × 8]
= [(1/2) × π × 82] - 64
= 32π - 64
= 32(π-2)
= 32 × 1.14
= 36.48 cm2
Therefore, area of shaded region is 36.48 cm2
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