Angle Converter
Choose two angle units and type in either box. Radian results are also written as a fraction of π when they are one.
180° = 3.1415926536 rad
Key relationships
| Angle | Degrees | Radians | Gradians |
|---|---|---|---|
| Full turn | 360° | 2π ≈ 6.2832 | 400 |
| Straight angle | 180° | π ≈ 3.1416 | 200 |
| Right angle | 90° | π/2 ≈ 1.5708 | 100 |
| One radian | ≈ 57.2958° | 1 | ≈ 63.662 |
Degrees, minutes and seconds
Maps and GPS coordinates often split degrees sexagesimally: 1° = 60 arcminutes (′) and 1′ = 60 arcseconds (″). To convert 40° 26′ 46″ to decimal degrees: 40 + 26/60 + 46/3600 = 40.4461°.
Units in degrees
| Unit | In degrees |
|---|---|
| 1 radian (rad) | 57.2957795131 ° |
| 1 gradian (gon) | 0.9 ° |
| 1 arcminute (′) | 0.0166666667 ° |
| 1 arcsecond (″) | 0.0002777778 ° |
| 1 turn (turn) | 360 ° |