SOLUTION: The arc length of a sector of a circle is 8π cm. If the circle has a radius 20π cm, what is the measure of the central angle of the sector?
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Question 449536: The arc length of a sector of a circle is 8π cm. If the circle has a radius 20π cm, what is the measure of the central angle of the sector? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The arc length of a sector of a circle is 8π cm. If the circle has a radius 20π cm, what is the measure of the central angle of the sector?
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Circumference of the circle = 2(pi)r = 2(pi)(20pi) = 40pi^2 cm
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Let measure of centeral angle be "x":
Solve:
x/20pi = 360/40pi^2
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x = (20pi)[360/40pi^2]
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x = 180/pi degrees ~ 57.30 degrees
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Cheers,
Stan H.
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