Answer:
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°
