The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees
<h3>How to determine the central angle?</h3>
The given parameters are:
- Area = 75π cm^2
- Radius, r = 15 cm
The area is calculated using
Area = α/360 * πr^2
So, we have:
α/360 * π * 15^2 = 75π
Evaluate the exponent
α/360 * π * 225 = 75π
Divide both sides by 75π
α/360 * 3 = 1
Multiply
α/120 = 1
Multiply both sides by 120
α = 120
Hence, the measure of the central angle that forms the sector is 120 degrees
Read more about sectors at:
brainly.com/question/10090807
