Convert Milliradians to Turns
1 milliradian is 0.0001592 turn. One milliradian is exactly 0.000159154943092 turns.
One milliradian is 1.5915 × 10^-4 turns. To convert milliradians to turns, multiply by 1.5915 × 10^-4; to go the other way, divide by 1.5915 × 10^-4 or multiply by 6283.1853. 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 × 1.5915 × 10^-4
1 * 0.00015920 turn
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 turns? The converter and the working
- 1.Take the measurement in milliradians.
- 2.Multiply by 1.5915 × 10^-4 — that is how many turns fit in one milliradian.
- 3.To go back the other way, divide by 1.5915 × 10^-4, or multiply by 6283.1853.
Worked example: 25 milliradians to turns
- Formula
- mrad × 1.5915 × 10^-4 = turn
- Arithmetic
- 25 × 1.5915 × 10^-4 = 0.003979 turn
- Answer
- 25 mrad = 0.003979 turn
The factor is rounded for display; the figure above is computed from the full value.
Milliradians to turns conversion table
| Milliradians | Turns |
|---|---|
| 1 mrad | 0.0001592 turn |
| 2 mrad | 0.0003183 turn |
| 3 mrad | 0.0004775 turn |
| 4 mrad | 0.0006366 turn |
| 5 mrad | 0.0007958 turn |
| 6 mrad | 0.0009549 turn |
| 7 mrad | 0.001114 turn |
| 8 mrad | 0.001273 turn |
| 9 mrad | 0.001432 turn |
| 10 mrad | 0.001592 turn |
| 12 mrad | 0.00191 turn |
| 15 mrad | 0.002387 turn |
| 20 mrad | 0.003183 turn |
| 25 mrad | 0.003979 turn |
| 50 mrad | 0.01 turn |
| 100 mrad | 0.02 turn |
| 200 mrad | 0.03 turn |
| 300 mrad | 0.05 turn |
| 500 mrad | 0.08 turn |
| 1000 mrad | 0.16 turn |
| 2000 mrad | 0.32 turn |
| 5000 mrad | 0.8 turn |
| 10000 mrad | 1.59 turn |
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 turn?
One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
How many turns are in a milliradian?
One milliradian is 1.5915 × 10^-4 turns. Going the other way, one turn is 6283.1853 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
Cite this page
- APA
- Rule Calculator. (2026). Convert Milliradians to turns. Rule Calculator. https://rulecalculators.com/convert/milliradian-to-turn
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- Chicago
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Questions people actually ask
- How many turns are in a milliradian?
- 1.5915 × 10^-4. One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
- How do I convert turns back to milliradians?
- Divide by 1.5915 × 10^-4, or multiply by 6283.1853 — they are the same operation.
Other angle conversions
Turns to milliradians — the same conversion the other way.