In a circle, a 60 degree sector has an area of 25 pi square feet. what is the radius of the circle?

r = 5√6 feets

Step-by-step explanation:

Angle = 60°

Area of a sector = ∅/360 × πr²

Area = 25πfeet²

25π = 60/360 × πr²

25π = ⅙ × πr²

25π × 6 = πr²

150π = πr²

π cancelled off

r² = 150

r = √150

r = √(25 × 6)

r = 5√6 feets

OR

r = 12.2474

r ≈ 12.25 feets

3 is greater then both of those numbers