Degrees to Radians conversion

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 rad0 rad
30°π/6 rad0.5235987756 rad
45°π/4 rad0.7853981634 rad
60°π/3 rad1.0471975512 rad
90°π/2 rad1.5707963268 rad
120°2π/3 rad2.0943951024 rad
135°3π/4 rad2.3561944902 rad
150°5π/6 rad2.6179938780 rad
180°π rad3.1415926536 rad
270°3π/2 rad4.7123889804 rad
360°2π rad6.2831853072 rad

 

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