Question

the area of a sector of a circle of radius 15cm is 110cm², calculate the angle of subtended at yhe center of the circle by the arc?​

Answer 1

44/45 radians

Explanation:

The area is given by the formula ...

A = (1/2)r²θ

where θ is the central angle in radians.

Filling in the given numbers, we have ...

110 cm² = (1/2)(15 cm)²θ

θ = (220 cm²)/(225 cm²) = 44/45 radians

The subtended angle is 44/45 radians, about 56.02°.