Popular angle conversions
- Degrees to radians1 ° = 0.0174533 rad
- Degrees to gradians1 ° = 1.11111 gon
- Degrees to arcminutes1 ° = 60 ′
- Degrees to turns1 ° = 0.00277778 tr
- Radians to degrees1 rad = 57.2958 °
- Radians to gradians1 rad = 63.662 gon
- Radians to arcminutes1 rad = 3,437.75 ′
- Radians to turns1 rad = 0.159155 tr
- Gradians to degrees1 gon = 0.9 °
- Gradians to radians1 gon = 0.015708 rad
- Gradians to arcminutes1 gon = 54 ′
- Gradians to turns1 gon = 0.0025 tr
- Arcminutes to degrees1 ′ = 0.0166667 °
- Arcminutes to radians1 ′ = 0.000290888 rad
- Arcminutes to gradians1 ′ = 0.0185185 gon
- Arcminutes to turns1 ′ = 0.0000462963 tr
- Turns to degrees1 tr = 360 °
- Turns to radians1 tr = 6.28319 rad
- Turns to gradians1 tr = 400 gon
- Turns to arcminutes1 tr = 21,600 ′
- Arcseconds to degrees1 ″ = 0.000277778 °
- Degrees to arcseconds1 ° = 3,600 ″
- Milliradians to degrees1 mrad = 0.0572958 °
- Degrees to milliradians1 ° = 17.4533 mrad
- Mils to degrees1 mil = 0.05625 °
- Degrees to mils1 ° = 17.7778 mil
About angle units
A full turn is 360 degrees, 2π radians or 400 gradians. Radians are the natural unit in mathematics and physics because they relate arc length directly to radius. Navigation and astronomy subdivide degrees into 60 arcminutes and 3,600 arcseconds.
Angle unit reference
| Unit | Symbol | Value in rad | System |
|---|---|---|---|
| Degree | ° | 0.017453293 rad | Other |
| Radian | rad | 1 rad | SI |
| Gradian | gon | 0.015707963 rad | Other |
| Arcminute | ′ | 0.00029088821 rad | Other |
| Arcsecond | ″ | 0.0000048481368 rad | Other |
| Turn (revolution) | tr | 6.2831853 rad | Other |
| Quadrant (right angle) | quad | 1.5707963 rad | Other |
| Milliradian | mrad | 0.001 rad | SI |
| Mil (NATO) | mil | 0.0009817477 rad | Other |
Frequently asked questions
What is the SI unit of angle?
This converter uses the radian (rad) as its reference unit; every other unit is defined relative to it.
How many angle units can I convert?
9 units are supported here, across Other, SI systems. Every pair can be converted in both directions.
Does this angle converter work offline?
Yes. Once the page has loaded, every calculation runs locally in your browser — nothing is sent to a server.