Angle Converter
Angle measures rotation or the separation between two lines meeting at a point. Degrees are common in everyday use, while radians are the SI unit used in mathematics and physics. A full turn is 360 degrees or 2π radians. Navigation, surveying, and artillery each add their own divisions of the circle.
18 units supported Base unit radian (rad)
Multiply the number of degrees by 0.0174532925199 to get radians. How this is calculated
About angle conversion
Angle conversion is commonly needed when geometry, navigation, engineering drawings, and programming.
Popular conversions
Convert Degree to other angle units
1 ° expressed in every other angle unit on this site.
- Radian rad 0.017453293
- Degree ° 1
- Gradian grad 1.1111111
- Milliradian mrad 17.453293
- Microradian µrad 17,453.293
- Arcminute ′ 60
- Arcsecond ″ 3,600
- Milliarcsecond mas 3,600,000
- Revolution rev 0.0027777778
- Right Angle ∟ 0.011111111
- Sextant sextant 0.016666667
- Sign sign 0.033333333
- Octant octant 0.022222222
- Point (compass) pt 0.088888889
- Mil (NATO) mil 17.777778
- Mil (Soviet) mil (SU) 16.666667
- Mil (Sweden) streck 17.5
- Binary Degree brad 0.71111111
Complete list of angle units
All 18 units this converter supports, each stated against the radian (rad).
| Unit | Symbol | System | In radians | Conversions |
|---|---|---|---|---|
| Radian | rad | SI | base unit (rad) | radians to degreesradians to gradians |
| Degree | ° | Other | 1 ° = 0.0174532925199 rad | degrees to radiansdegrees to arcminutes |
| Gradian | grad | Other | 1 grad = 0.0157079632679 rad | gradians to radians |
| Milliradian | mrad | SI | 1 mrad = 0.001 rad | — |
| Microradian | µrad | SI | 1 µrad = 0.000001 rad | — |
| Arcminute | ′ | Other | 1 ′ = 0.000290888208666 rad | arcminutes to degrees |
| Arcsecond | ″ | Other | 1 ″ = 0.0000048481368111 rad | — |
| Milliarcsecond | mas | Other | 1 mas = 4.8481368111e-9 rad | — |
| Revolution | rev | Other | 1 rev = 6.28318530718 rad | — |
| Right Angle | ∟ | Other | 1 ∟ = 1.57079632679 rad | — |
| Sextant | sextant | Other | 1 sextant = 1.0471975512 rad | — |
| Sign | sign | Other | 1 sign = 0.523598775598 rad | — |
| Octant | octant | Other | 1 octant = 0.785398163397 rad | — |
| Point (compass) | pt | Other | 1 pt = 0.196349540849 rad | — |
| Mil (NATO) | mil | Other | 1 mil = 0.000981747704247 rad | mils to degrees |
| Mil (Soviet) | mil (SU) | Other | 1 mil (SU) = 0.0010471975512 rad | — |
| Mil (Sweden) | streck | Other | 1 streck = 0.00099733100114 rad | — |
| Binary Degree | brad | Other | 1 brad = 0.0245436926062 rad | — |
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Frequently asked questions
What is the base unit for angle?
Angle conversions on this site are calculated against the radian (rad).
Which angle units can I convert?
You can convert between 18 units, including radian, degree, gradian, milliradian, and more.
Where is angle conversion useful?
It is commonly needed when geometry, navigation, engineering drawings, and programming.
Does this converter mix measurement systems?
The converter supports SI, Other units and keeps their exact definitions separate so results stay accurate.
Related categories
Conversion factors are based on internationally agreed unit definitions. See our methodology and sources for details on how these values are verified.