Question

How to find the measure of an angle in radians and degrees?

Answer 1

In order to find an angle, you can use a protractor. You can turn angles that are in degrees and turn degrees into radian by knowing the following formulas.

$1\ degree = \frac{\pi}{180}$
$1\ radian = \frac{180}{\pi}$

So if we have a measure of 20 degrees we can convert it by multiplying the degrees by the radian formula like the following:
$20\textdegree \times \frac{\pi}{180} = \frac{1}{9}\pi \ radian$

If we had 10 radian, we would use the following formula.
$10 \times\frac{180}{\pi} = 572.95\textdegree$