SOLUTION: an arc of length 32 in is found in a circle with a radius of 8 in. find the measure of the central angle which intrcepts this arc

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Question 392084: an arc of length 32 in is found in a circle with a radius of 8 in. find the measure of the central angle which intrcepts this arc
Found 3 solutions by stanbon, ankor@dixie-net.com, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
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an arc of length 32 inches is found in a circle with a radius of 8 in.
find the measure of the central angle which intercepts this arc.
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The circumference is 2(pi)r = 16pi inches.
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Use a proportion to find the central angle.
angle/arc = angle/arc
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angle/32 = 360/(16pi)
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angle = 32[360/(16pi)]
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angle = 229.18 degrees
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Cheers,
Stan H.
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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
an arc of length 32 in is found in a circle with a radius of 8 in. find the measure of the central angle which intercepts this arc
:
Find the circumference of the circle
C = 2%2Api%2A8
C = 50.2655
:
Find the angle
32%2F50.2655 * 360 = 229.18 degrees

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
an arc of length 32 in is found in a circle with a radius of 8 in. find the measure of the central angle which intrcepts this arc
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Angle = 32/8 = 4 radians