Degrees to Radians conversion

Degrees to radians conversion calculator

Enter angle in degrees and press the Convert button (e.g:30°, -60°):

Enter Degrees: °
 
Radians result:  
Angle view:  

Radians to degrees converter ►

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° × 3.1459 / 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

 

Radians to degrees conversion ►

 


See also

Write how to improve this page

NUMBER CONVERSION
RAPID TABLES