Q34 of 37 Page 13

In the figure, ABC is a quadrant of a circle of radius 14cm, and a semicircle is drawn with BC as diameter. Find the area of the shaded region.

Area of shaded region = Area of segment with chord BC


Now, AC = BA = 14cm


∴ BC = √(14)2 + (14)2 = 14√2 cm




= 154cm2




= 98


So, Area of shaded region = 154 – 98


= 56cm2


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