How to change degrees to radians or vice versa

An angle measurement based on radian size is based on the assumption that:
"one radian = the magnitude of the center corner of a circle bounded by a circular arc equal in length to the radius"

If OA and OB are radius = r and arc AB is also the length r then ∠AOB is 1 radian. Generally we already know that 1 turn = 360º and the circumference of the circle k = 2πr, then based on the comparison formula on the circle is valid:

So the way to change degrees to radians is essentially based on the radian equation with the following degrees:
3.14 radians = 180º
1 radian = 57.3º

Example :
How much is 30º!

Answer:

So 30º = 0.524 radians.

Similarly this article.
Sorry if there is a wrong word.
The end of word wassalamualaikum wr. wb

Referensi :

• To'Ali's book math group accounting and sales

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