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 = (\pi)/(180)`

`1\ radian = (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 * (\pi)/(180) = (1)/(9)\pi \ radian`

If we had 10 radian, we would use the following formula.

`10 *(180)/(\pi) = 572.95\textdegree`