Q. 34.0( 10 Votes )
Find the area of a sector of a circle of radius 28 cm and central angle 45°.
Area of a sector of a circle = (1/2)r2θ,
where r is the radius and,
θ the angle in radians subtended by the arc at the center of the circle
Here, Radius of circle = 28 cm
Angle subtended at the center = 45°
Angle subtended at the center (in radians) = θ 45π/180 = π/4
∴ Area of a sector of a circle =
= 308 cm2
Hence, the required area of a sector of a circle is 308 cm2.
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