Converting Degrees to Radians Formula
Before going to learn converting degrees to radians formula, let us recall what are degrees and radians. "Degrees" and "radians" are two different units of measuring angles.
 1 degree is written as 1°.
 1 radian is written as 1 (or) 1^{c}.
i.e., if there is no unit after the measure of an angle, it means that it is in radians.
We know that one complete revolution (in the counterclockwise direction) is 360° and it is equivalent to 2π in radians. i.e., 360° = 2π. From this, we get π = 180°. Let us learn the converting degrees to radians formula with a few solved examples in the end.
What Is Converting Degrees to Radians Formula?
By using the above equation, we can say that to convert degrees into radians, we multiply the angle (in degrees) by π / 180. Thus, the formula for converting degrees into radians is:
Radians = Degrees × π / 180
Note: On the other hand, the formula for converting the radians into degrees is:
Degrees = Radians × 180 / π
You can see some angles in both degrees and radians here.
Let us see the applications of converting degrees to radians formula in the following section.

Example 1: Convert 120° into radians.
Solution:
To find: The radian equivalent of 120°.
Using the formula for converting degrees into radians:
Radians = Degrees × π / 180
Radians = 120 × π / 180 = 2π / 3
Answer: 120° = 2π / 3.

Example 2:
Convert 900° into radians.
Solution:
To find: The radian equivalent of 900°.
Using the formula for converting degrees into radians:
Radians = Degrees × π / 180
Radians = 900 × π / 180 = 5π
Answer: 900° = 5π.