The area of the sector of a circle of radius 10.5 cm is 69.3 cm2. Find the central angle of the sector.

Consider the circle shown above,

We know , Area of sector

Where R = radius of the circle and θ = central angle

Given R = 10.5 cm and Area of sector = 69.3 cm2

Let the angle subtended at centre = θ

Put the values of R and area of sector in equation 1

θ = 72°

The central angle of the sector is 72°.