Beauchampabbie
Beauchampabbie Beauchampabbie
  • 11-03-2021
  • Mathematics
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What is the arc length of a segment of a circle with a central angle of 165° and a radius of 3 inches?​

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FulcrumAhsoka
FulcrumAhsoka FulcrumAhsoka
  • 11-03-2021

Answer:

11π/4 (radians) or 495° (degrees)

Step-by-step explanation:

Convert 165° to radians:

165 * π/180 = 165π/180 = 11π/12

s = r/Ф

arc length = 3(11π/12) = 33π/12 = 11π/4

Convert back to degrees if asked to:

11π/4 * 180/π = 495° (Note that this is 165° * 3, see the pattern?)

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