Answer:
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
