Q. 34.0( 10 Votes )

Find the area of a sector of a circle of radius 28 cm and central angle 45°.


Answer :

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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