A sector of a circle has an arc measurement of 216 digress. the area of the sector is 15pi cm^2. what is the radius of the circle?

The arc measurement of the sector is 216°.

Therefore the area of the sector is 216/360 = 0.6 of the area of the entire circle.

Let r = the radius of the circle.

Then the area of the circle is πr².

Therefore the area of the sector is

0.6*πr²

Because the area of the sector is 15π cm², therefore

0.6πr² = 15π

r² = 15/0.6 = 25

r = 5 cm

Answer: 5 cm