Q29 of 78 Page 939

In the given figure ABCD represent the quadrant of a circle of radius 7 cm with centre A. Calculate the area of the shaded region. [Take π = 22/7.]

Area of quadrant CAB = (π/4) × (radius)2


= (22/28) × (7)2


= 37.5 cm2


Area of Δ EAB = (1/2) × base × height


= (1/2) × 7 × 2


= 7 cm2


Thus, Area of shaded Region


= Area of quadrant CAB – Area of Δ EAB


= (37.5 – 7) cm2


= 30.5 cm2


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