Convert Milliradians to Degrees
1 milliradian is 0.06 °. One milliradian is exactly 0.0572957795131 degrees.
One milliradian is 0.05729578 degrees. To convert milliradians to degrees, multiply by 0.05729578; to go the other way, divide by 0.05729578 or multiply by 17.453293. The relation is exact but the figure is not: it is a rounding of a number that does not terminate, and it follows from NIST Special Publication 811.
Factor checked against the defining standard · How we check
- Milliradians × 0.05729578
1 * 0.05729580.057 °
1 milliradian in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.001 rad | × 0.001 |
| degrees | 0.05729577951 ° | × 0.0572957795131 |
| gradians | 0.06366197724 gon | × 0.0636619772368 |
| arcminutes | 3.437746771 ′ | × 3.43774677078 |
| arcseconds | 206.2648062 ″ | × 206.264806247 |
| turns | 0.0001591549431 turn | × 0.000159154943092 |
| milliradians (as entered) | 1 mrad | — |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert milliradians to degrees? The converter and the working
- 1.Take the measurement in milliradians.
- 2.Multiply by 0.05729578 — that is how many degrees fit in one milliradian.
- 3.To go back the other way, divide by 0.05729578, or multiply by 17.453293.
Worked example: 25 milliradians to degrees
- Formula
- mrad × 0.05729578 = °
- Arithmetic
- 25 × 0.05729578 = 1.43 °
- Answer
- 25 mrad = 1.43 °
The factor is rounded for display; the figure above is computed from the full value.
Milliradians to degrees conversion table
| Milliradians | Degrees |
|---|---|
| 1 mrad | 0.06 ° |
| 2 mrad | 0.11 ° |
| 3 mrad | 0.17 ° |
| 4 mrad | 0.23 ° |
| 5 mrad | 0.29 ° |
| 6 mrad | 0.34 ° |
| 7 mrad | 0.4 ° |
| 8 mrad | 0.46 ° |
| 9 mrad | 0.52 ° |
| 10 mrad | 0.57 ° |
| 12 mrad | 0.69 ° |
| 15 mrad | 0.86 ° |
| 20 mrad | 1.15 ° |
| 25 mrad | 1.43 ° |
| 50 mrad | 2.86 ° |
| 100 mrad | 5.73 ° |
| 200 mrad | 11.46 ° |
| 300 mrad | 17.19 ° |
| 500 mrad | 28.65 ° |
| 1000 mrad | 57.3 ° |
| 2000 mrad | 114.59 ° |
| 5000 mrad | 286.48 ° |
| 10000 mrad | 572.96 ° |
The scope mil and the military mil are not the same mil
A true milliradian is a thousandth of a radian, which puts 6,283.19 of them in a full turn and moves the point of impact 10 cm at 100 m. NATO rounds the same idea to 6,400 to a turn so it divides cleanly by compass points, and Warsaw Pact systems used 6,000. A scope adjusting in true mils and a fire-control table written in NATO mils differ by about 2%, which is a meter and a half at a kilometer.
NIST Special Publication 811 — Guide for the Use of the International System of Units
What is a milliradian?
A thousandth of a radian, and the unit rifle scopes adjust in: at 100 meters one milliradian moves the point of impact by 10 cm. The military "mil" is a different thing — 6,400 to a turn rather than the true 6,283.
What is a degree?
A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
How many degrees are in a milliradian?
One milliradian is 0.05729578 degrees. Going the other way, one degree is 17.453293 milliradians. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to a milliradian.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
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Questions people actually ask
- How many degrees are in a milliradian?
- 0.05729578. A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
- How do I convert degrees back to milliradians?
- Divide by 0.05729578, or multiply by 17.453293 — they are the same operation.
Other angle conversions
Degrees to milliradians — the same conversion the other way.