SOLUTION: why is the fraction 180 degrees/pi radians is equivalent to 1

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Question 437682: why is the fraction 180 degrees/pi radians is equivalent to 1
Found 2 solutions by richard1234, robertb:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Because 180 degrees is equal to pi radians, by definition.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Technically speaking, it is not equal to 1, because radian is not a dimension, or a metric (like meter, inch, kg, pound, etc.), but degree is. (Radians tell you how many radii you can fit around the circumference, or circular arc.) The quantity 180%5E0%2Fpi, or pi%2F180%5E0 should only be used in the context of converting one form of angle to another form.