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

Question

2 years ago

13

s the
sector?

1 answer:

anyanavicka [17] · Answer 1 · 2023-04-01T11:26:04+03:00

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:

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