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Tomtit [17]
3 years ago
12

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

Mathematics
1 answer:
kaheart [24]3 years ago
3 0

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

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