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30 March, 09:57

How long is the arc intersected by a central angle of 5pi/3 radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for pi

A. 2.6 ft

B. 7.0 ft

C. 10.5 ft

D. 31.4 ft

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Answers (1)
  1. 30 March, 10:13
    0
    Length of an arc of a circle:

    L = n / 2π ·2 ·r · π

    L = (5π/3 ·2 ·2 ·3.14) : 2π = 5/3 · 6.28 = 10.47 ≈ 10.5

    Answer: C) 10.5 ft.
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