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

Given:

Radius of the circle = 10.5 cm

Area of the sector = 69.3 cm²

∵ Area of the sector = × πr²

∴ 69.3 = × × 10.5 × 10.5

θ = 69.3 × 360 × × ×

θ = 72°

Hence, the central angle is 72°.