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MrRoyal

The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees

How to determine the central angle?

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:

https://brainly.com/question/10090807

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