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?

Question

7828 views around the world

You can reuse this answer
Creative Commons License

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#