radians of a polygon

**ninobrn99** · May 4th 2009, 10:33 PM

The measure of each interior angle of a regular polygon with n sides is [(n-2)180/n] degrees. What is the measure of each interior angle of a regular polygon with n sides, in radians?

How do you convert to radians?

**Prove It** · May 4th 2009, 10:42 PM

Originally Posted by ninobrn99

The measure of each interior angle of a regular polygon with n sides is [(n-2)180/n] degrees. What is the measure of each interior angle of a regular polygon with n sides, in radians?

How do you convert to radians?

In any circle, there are $360^\circ$ or $2\pi^C$ .

So $1^\circ = \frac{2\pi^C}{360} = \frac{\pi^C}{180}$ .

So to convert degrees to radians, multiply by $\frac{\pi^C}{180}$ .

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