Degrees to Radians Converter
Convert ° to rad instantly — and see every other angle unit at once.
1 °=0.017453 rad
1 ° in every unit
Degreesfrom
1°
Radians
0.017453rad
Gradians
1.1111grad
Arcminutes
60′
Arcseconds
3,600″
Turns
0.002778turn
Milliradians
17.4533mrad
Common Degrees to Radians conversions
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.01745 rad |
| 15 ° | 0.2618 rad |
| 30 ° | 0.5236 rad |
| 45 ° | 0.7854 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 180 ° | 3.14159 rad |
| 270 ° | 4.71239 rad |
| 360 ° | 6.28319 rad |
The formula
Degrees divide a full circle into 360 parts — used in navigation, geometry, and everyday angles.
Radians are the SI angle unit — a full circle is 2π rad, the natural unit for trigonometry and calculus.
Worked examples
180 °→3.1416 rad— π radians
Apply deg × π/180 with input = 180. Result: 3.1416 rad.
90 °→1.5708 rad— π/2 (right angle)
Apply deg × π/180 with input = 90. Result: 1.5708 rad.
45 °→0.7854 rad— 45°
Apply deg × π/180 with input = 45. Result: 0.7854 rad.
360 °→6.2832 rad— 2π (full turn)
Apply deg × π/180 with input = 360. Result: 6.2832 rad.
FAQ
How do I convert Degrees to Radians?
Use the formula: rad = deg × π/180. You can also use the converter above — type any value and the result updates instantly.
Where are Degrees used?
Degrees divide a full circle into 360 parts — used in navigation, geometry, and everyday angles.
Where are Radians used?
Radians are the SI angle unit — a full circle is 2π rad, the natural unit for trigonometry and calculus.
How do I convert Radians back to Degrees?
Use the Radians to Degrees converter.