SOLUTION: How is radian measure related to degree measure? Give an example of converting from one to the other.

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Question 950263: How is radian measure related to degree measure? Give an example of converting from one to the other.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
In degree system, a circle consists of 360 degrees, in the radian system a circle is 2%28pi%29 radians. Since 360+degrees=2%28pi%29+radians, we can use
2%28pi%29radians%2F360degrees as a conversion factor for degrees to radians or 360+degrees%2F2%28pi%29+radians to convert radians to degrees.
Example:Convert 180 degrees to radians.
180+degrees%282%28pi%29radians%2F360degrees%29%29%29%29=%7B%7B%7B%282%28pi%29%2F2%29=%28pi%29+radians