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Area of a Sector of a Circle

In the given ...

Question

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

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Solution

As ABC is a quadrant of the circle, ∠BAC will be of measure 90º.

In ΔABC,

BC² = AC² + AB²

= (14)² + (14)²

Radius (r₁) of semi-circle drawn on

Area of

Area of sector

= 154 − (154 − 98)

= 98 cm²

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