The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?

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Answer 1 · 2016-01-13T00:41:27

0.75 radians

The total perimeter is:

#P=2πr^2#

#P=2π(d/2)^2#

#P=2πd^2/4#

#P=πd^2/2#

#P=π8^2/2#

#P=32π#

#32π# centimeters are equal to #2π# radians (Perimeter)
12 centimeters are equal to x

#32πx=12*2π#

#x=(12*2π)/(32π)#

#x=0.75#