livv1261 livv1261
  • 24-04-2020
  • Mathematics
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If a radius is 16 feet long, what is the length of an arc whose measure is 60 degrees?

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altavistard
altavistard altavistard
  • 26-04-2020

Answer:

(16/3)π ft

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle in radians.

Here the central angle is 60° so we must convert this to radians:

60°        π        π

----- * -------- = ----- radians

  1       180°      3

Thus, the arc length of interest is s = (16 ft)(π/3 rad) = (16/3)π ft

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