SOLUTION: A central angle theta in a circle of radius 100cm subtends an arc length of 250cm. Find the measure of the angle in radians and in degrees. please be descriptive Thank you

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Question 967391: A central angle theta in a circle of radius 100cm subtends an arc length of 250cm. Find the measure of the angle in radians and in degrees.
please be descriptive
Thank you
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Radius 100 means circumference is 2%2Api%2A100=200pi. The given arc length is a fraction of the 200pi, and therefore that fraction of the 2pi radians.

Radian measure of the arc
%28250%2F%28200pi%29%292pi=250%2F100=25%2F10=highlight%285%2F2%29, in radians.

Next use the fact, 2pi radians is 360 degrees.