16 units · base unit rad · 1
Angle converter
Angle is dimensionless, so every conversion here is a pure number. The ones involving π are irrational — this calculator carries 60 digits of π, so results stay correct far past what any display shows.
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Ranges, ± tolerances, feet/inches and clock durations work in the value field.
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Show this value in all 16 angle units
- Radians rad 1
- Milliradians mrad 1000
- Microradians µrad 1 000 000
- Degrees ° 57.295 779 513 1
- Arcminutes ′ 3437.746 770 78
- Arcseconds ″ 206 264.806 247
- Milliarcseconds mas 206 264 806.247
- Gradians gon 63.661 977 236 8
- Turns tr 0.159 154 943 092
- Quadrants quad 0.636 619 772 368
- Sextants sextant 0.954 929 658 551
- Octants octant 1.273 239 544 74
- Mil (NATO)s mil 1018.591 635 79
- Mil (Warsaw Pact)s mil 954.929 658 551
- Compass points pt 5.092 958 178 94
- Hour angles h 3.819 718 634 21
Every row is Radian (rad) converted through the radian, in exact rational arithmetic.
Common angle conversions
- rad → mrad
- rad → °
- rad → ′
- rad → ″
- rad → gon
- rad → tr
- mrad → rad
- mrad → °
- mrad → ′
- mrad → ″
- mrad → gon
- mrad → tr
- ° → rad
- ° → mrad
- ° → ′
- ° → ″
- ° → gon
- ° → tr
- ′ → rad
- ′ → mrad
- ′ → °
- ′ → ″
- ′ → gon
- ′ → tr
- ″ → rad
- ″ → mrad
- ″ → °
- ″ → ′
- ″ → gon
- ″ → tr
- gon → rad
- gon → mrad
- gon → °
- gon → ′
- gon → ″
- gon → tr
- tr → rad
- tr → mrad
- tr → °
- tr → ′
- tr → ″
- tr → gon
All angle units
Each unit expressed in radians (rad), the unit everything in this category converts through.
| Unit | Symbol | System | Value in rad |
|---|---|---|---|
| Radian | rad | SI | 1 |
| Milliradian | mrad | metric | 0.001 |
| Microradian | µrad | metric | 0.000001 |
| Degree | ° | other | 0.0174532925199 |
| Arcminute | ′ | other | 0.000290888208666 |
| Arcsecond | ″ | other | 0.0000048481368111 |
| Milliarcsecond | mas | astronomical | 0.0000000048481368111 |
| Gradian | gon | metric | 0.0157079632679 |
| Turn | tr | other | 6.28318530718 |
| Quadrant | quad | other | 1.57079632679 |
| Sextant | sextant | other | 1.0471975512 |
| Octant | octant | other | 0.785398163397 |
| Mil (NATO) | mil | other | 0.000981747704247 |
| Mil (Warsaw Pact) | mil | other | 0.0010471975512 |
| Compass point | pt | other | 0.196349540849 |
| Hour angle | h | astronomical | 0.261799387799 |
About angle units
Convert degrees, radians, gradians, arcseconds and artillery mils.
Angle is dimensionless, so every conversion here is a pure number. The ones involving π are irrational — this calculator carries 60 digits of π, so results stay correct far past what any display shows.
Dimensional formula: 1. Every conversion on this page goes through the radian, using exact fractions rather than decimal approximations. Read how that works →