SOLUTION: A central angle with the measure 50° is drawn in a circle with circumference of 9π mi. What is the length of the intercepted arc to the nearest tenth of a mile

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Question 1032195: A central angle with the measure 50° is drawn in a circle with circumference of 9π mi. What is the length of the intercepted arc to the nearest tenth of a mile

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(50/360)*9pi miles

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
: A central angle with the measure 50° is drawn in a circle with circumference of 9π mi. What is the length of the intercepted arc to the nearest tenth of a mile
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P = 2pi*r
r = 9pi/2pi = 4.5 miles
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50 degrees = 50(pi/180) = 0.2778pi radians
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Formula (arc length)/r = theta in radians
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Ans:: arc length = (4.5)*0.2778pi = 3.9270 miles
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Cheers,
Stan H.
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