A sector with an area of 30pi cm^2 has a radius of 10 cm.

What is the central angle in degrees

108°

Step-by-step explanation:

The formula for the Area of a sector when the central angle is in degrees = (θ/360°) * πr²

Formula for central angle in degrees is derived as:

θ = (Area of a sector * 360°) : πr²

From the question, we are given

Area of the sector = 30π cm²

Radius = 10 cm

Hence, we have

θ = (30π * 360°) : π * 10²

θ = 108°

Therefore, the central angle in degrees is 108°