Angle Converter
Convert degrees, radians, gradians, minutes and seconds of arc, turns, mils and milliradians.
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- Result
- Formula
- Reverse
- Exact?
In Every Unit
| Unit | Value |
|---|
Saved Conversions
Conversions you add are saved in this browser.
| Note | Conversion | Remove |
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How to Convert Angle Units
A full circle is 360°, 2π radians, 400 gradians or 6,400 NATO mils. To go from degrees to radians multiply by π/180.
rad = ° × π ÷ 180 ° = rad × 180 ÷ π 1° = 60′ = 3,600″
Worked Example
Common Conversions
| From | Equals |
|---|---|
| 1 ° | 0.01745329 rad |
| 1 rad | 57.29578 ° |
| 1 ° | 1.111111 gon |
| 1 ′ | 0.01666667 ° |
| 1 mil | 0.05625 ° |
| 1 mrad | 3.437747 ′ |
Unit Definitions
| Unit | Equals | Exact? |
|---|---|---|
| Degrees (°) | 0.01745329252 rad | Exact |
| Radians (rad) | 1 rad | Exact |
| Gradians (gon) | 0.01570796327 rad | Exact |
| Minutes of arc (′) | 0.000290888209 rad | Exact |
| Seconds of arc (″) | 0.000004848137 rad | Exact |
| Turns (revolutions) (rev) | 6.283185307 rad | Exact |
| NATO mils (mil) | 0.000981747704 rad | Exact |
| Milliradians (mrad) | 0.001 rad | Exact |
Factors follow NIST Special Publication 811, Appendix B. "Exact" means the unit is defined as that value; results are rounded only for display.
Tips
Scope adjustments use milliradians (MRAD) or minutes of angle (MOA); 1 MRAD is about 3.44 MOA. For slopes as a percent grade, see the slope and grade calculator.