Use Radians to Degrees Conversion Calculator
Angle Converter
rad
Angle Conversion Formulas
Degrees = Radians × 180° / π
Radians = Degrees × π / 180°
Common Angle Values
| Angle | Radians | Degrees |
| Right angle | π/2 | 90° |
| Straight angle | π | 180° |
| Full angle | 2π | 360° |
How to convert radians to degrees
Pi radians are equal to 180 degrees:
π rad = 180°
One radian is equal 57.295779513 degrees:
1 rad = 180°/π = 57.295779513°
The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant:
α(degrees) = α(radians) × 180° / π
or
degrees = radians × 180° / π
Example
Convert 2 radians angle to degrees:
α(degrees) = α(radians) × 180° / π = 2 × 180° / 3.14159 = 114.592°
Radians to degrees conversion table
| Radians (rad) | Radians (rad) | Degrees (°) |
|---|---|---|
| 0 rad | 0 rad | 0° |
| π/6 rad | 0.5235987756 rad | 30° |
| π/4 rad | 0.7853981634 rad | 45° |
| π/3 rad | 1.0471975512 rad | 60° |
| π/2 rad | 1.5707963268 rad | 90° |
| 2π/3 rad | 2.0943951024 rad | 120° |
| 3π/4 rad | 2.3561944902 rad | 135° |
| 5π/6 rad | 2.6179938780 rad | 150° |
| π rad | 3.1415926536 rad | 180° |
| 3π/2 rad | 4.7123889804 rad | 270° |
| 2π rad | 6.2831853072 rad | 360° |
