Degrees to Radians conversion calculator

Introducing the Degrees to Radians Converter: Streamlining angular conversions. Elevate your calculations with accuracy and simplicity.

Enter Degrees: °
 
Radians result:  
Angle view:  

How to convert degrees to radians

Pi radians are equal to 180 degrees:

π rad = 180°

One degree is equal 0.01745329252 radians:

1° = π/180° = 0.005555556π = 0.01745329252 rad

The angle α in radians is equal to the angle α in degrees times pi constant divided by 180 degrees:

α(radians) = α(degrees) × π / 180°

or

radians = degrees × π / 180°

Example

Convert 30 degrees angle to radians:

α(radians) = α(degrees) × π / 180° = 30° × 3.14159 / 180° = 0.5236 rad

Degrees to radians conversion table

Degrees (°) Radians (rad) Radians (rad)
0 rad 0 rad
30° π/6 rad 0.5235987756 rad
45° π/4 rad 0.7853981634 rad
60° π/3 rad 1.0471975512 rad
90° π/2 rad 1.5707963268 rad
120° 2π/3 rad 2.0943951024 rad
135° 3π/4 rad 2.3561944902 rad
150° 5π/6 rad 2.6179938780 rad
180° π rad 3.1415926536 rad
270° 3π/2 rad 4.7123889804 rad
360° 2π rad 6.2831853072 rad

 

What exactly does the Degrees to Radians Converter do?

The Degrees to Radians Converter allows users to input an angular measurement in degrees and instantly obtain its equivalent in radians, streamlining mathematical and engineering calculations.


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