gracie120 gracie120
  • 10-05-2018
  • Mathematics
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For a circle with a radius of 6 feet, find the arc length of a central angle of 45 degrees

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sbcardinals
sbcardinals sbcardinals
  • 10-05-2018
The arc length formula is given below.

Arc Length, s = radius*theta where theta is in radians. First we need to convert theta from degrees to radians.

theta (radians) = 45 degrees * π radians / 180 degrees = 0.785 radians

radius = 6 ft
theta = 0.785 radians

s = arc length = 6 ft * 0.785 radians = 4.712 ft 
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