# 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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