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06-06-2018
Mathematics

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What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?

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wolf1728 wolf1728

06-06-2018

If radius = 30, the circumference = 2*PI *radius = 188.4955592154 cm
The arc = 18*PI cm = 56.5486677646
The arc is ( 56.5486677646 / 188.4955592154) = one third of the

circumference and so it subtends a central angle of 120 degrees.

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