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irina1246 [14]
2 years ago
13

The area of a sector of a circle with a radius measuring 15 cm is 75(pi) cm2. What is the measure of the central angle that form

s the
sector?
Mathematics
1 answer:
anyanavicka [17]2 years ago
6 0

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

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