SOLUTION: Find the arc length of the minor arc with a given 150 degree interior angle and a circumfrence of 31.4

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Question 460914: Find the arc length of the minor arc with a given 150 degree interior angle and a circumfrence of 31.4
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
First we find the radius of the circle with circumference 31.4=10%2Api:
r=%2831.4%29%2F%282%2Api%29=10%2Api%2F%282%2Api%29=5 radian. As we know the length of the arc is
given by the formula:l=r%2Atheta, where theta+ is the angle 150 degree
or 5%2Api%2F6 radian. Substituting we get:l=5%2A5%2Api%2F6=25%2Api%2F6 radian.