Question

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

Answer 1

Given:
Area of the sector = 63 cm²
Radius = 10.5 cm

Now,

Area of the sector`=(pi"r"^2theta)/360`

`=> 69.3 = 22/7xx10.5xx10.5xxtheta/360`

`=> theta = (69.3xx7xx360)/(22xx10.5xx10.5)`

⇒ θ = 72° 

∴ Central angle of the sector = 72°