almedagabrielap0cq60 almedagabrielap0cq60
  • 13-05-2021
  • Mathematics
contestada

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 20pie ft what is the radius round your answer to the nearest 10th class=

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sqdancefan
sqdancefan sqdancefan
  • 13-05-2021

9514 1404 393

Answer:

  26.67 feet

Step-by-step 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

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