Angle Converter (Degrees, Radians)
Angle converter: degrees, radians, gradians, turns, arcminutes, arcseconds and milliradians.
How to use this calculator
- Type the value you want to convert.
- Choose the unit you are converting from and the one you want.
- Read the result, or the full table of equivalent units below.
A full turn is 360° = 2π rad = 400 gon. Radians are the SI unit used in calculus and physics; degrees are everyday; gons appear in surveying.
One degree is 60 arcminutes and 3,600 arcseconds.
Conversion formula
1 ° = 0.0174533 rad · 1 rad = 57.2958 °
Common conversions: degree → radian
| ° | rad |
|---|---|
| 1 ° | 0.0174533 rad |
| 2 ° | 0.0349066 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 20 ° | 0.349066 rad |
| 50 ° | 0.872665 rad |
| 100 ° | 1.74533 rad |
| 1 000 ° | 17.4533 rad |
Frequently asked questions
How many radians is 180°?
π ≈ 3.14159 rad.