SOLUTION: The length of arc AB is 6(pi)cm and the measurement of arc AB is 120 degrees. What is the diameter of the circle?

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Question 167352This question is from textbook Geometry
: The length of arc AB is 6(pi)cm and the measurement of arc AB is 120 degrees. What is the diameter of the circle?This question is from textbook Geometry

Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
The length of arc AB is 6(pi)cm and the measurement of arc AB is 120 degrees. What is the diameter of the circle?
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The circle has 3(120) degrees
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The circumference of the circle is 3[6(pi)cm] = 18(pi)cm
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But circumference = (pi)d, where d is the diameter of the circle.
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EQUATION:
(pi)d = 18(pi)
d = 18 cm
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Cheers,
Stan H.