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° | 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 |