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Find the length of FN is 20*pie ft. what is the radius round your answer to the nearest 10th

Find the length of FN is 20*pie ft. what is the radius round your answer to the nearest-example-1
User Luan Nico
by
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1 Answer

1 vote

9514 1404 393

Answer:

26.67 feet

Explanation:

The arc length is given by the formula ...

s = rθ . . . . . . where r is the radius and θ is the angle in radians

Here, the angle is 360° -225° = 135° = 3π/4 radians

Filling in the known information, we have ...

20π = r(3π/4)

r = 80/3 . . . . . divide by the coefficient of r

r ≈ 26.67 . . . . feet

User Simon Clough
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