Convert Turns to Milliradians
1 turn is 6,283.19 mrad. One turn is exactly 6283.18530718 milliradians.
One turn is 6283.1853 milliradians. To convert turns to milliradians, multiply by 6283.1853; to go the other way, divide by 6283.1853 or multiply by 1.5915 × 10^-4. 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. One full revolution — 360 degrees, 400 gradians, 2π radians.
Factor checked against the defining standard · How we check
- Turns × 6283.1853
1 * 6283.18536,283.185 mrad
1 turn in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 6.283185307 rad | × 6.28318530718 |
| degrees | 360 ° | × 360 |
| gradians | 400 gon | × 400 |
| arcminutes | 21,600 ′ | × 21,600 |
| arcseconds | 1,296,000 ″ | × 1,296,000 |
| turns (as entered) | 1 turn | — |
| milliradians | 6,283.185307 mrad | × 6,283.18530718 |
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 turns to milliradians? The converter and the working
- 1.Take the measurement in turns.
- 2.Multiply by 6283.1853 — that is how many milliradians fit in one turn.
- 3.To go back the other way, divide by 6283.1853, or multiply by 1.5915 × 10^-4.
Worked example: 25 turns to milliradians
- Formula
- turn × 6283.1853 = mrad
- Arithmetic
- 25 × 6283.1853 = 157,079.63 mrad
- Answer
- 25 turn = 157,079.63 mrad
The factor is rounded for display; the figure above is computed from the full value.
Turns to milliradians conversion table
| Turns | Milliradians |
|---|---|
| 1 turn | 6,283.19 mrad |
| 2 turn | 12,566.37 mrad |
| 3 turn | 18,849.56 mrad |
| 4 turn | 25,132.74 mrad |
| 5 turn | 31,415.93 mrad |
| 6 turn | 37,699.11 mrad |
| 7 turn | 43,982.3 mrad |
| 8 turn | 50,265.48 mrad |
| 9 turn | 56,548.67 mrad |
| 10 turn | 62,831.85 mrad |
| 12 turn | 75,398.22 mrad |
| 15 turn | 94,247.78 mrad |
| 20 turn | 125,663.71 mrad |
| 25 turn | 157,079.63 mrad |
| 50 turn | 314,159.27 mrad |
| 100 turn | 628,318.53 mrad |
| 200 turn | 1,256,637.06 mrad |
| 300 turn | 1,884,955.59 mrad |
| 500 turn | 3,141,592.65 mrad |
| 1000 turn | 6,283,185.31 mrad |
| 2000 turn | 12,566,370.61 mrad |
| 5000 turn | 31,415,926.54 mrad |
| 10000 turn | 62,831,853.07 mrad |
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.
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.
How many milliradians are in a turn?
One turn is 6283.1853 milliradians. Going the other way, one milliradian is 1.5915 × 10^-4 turns. 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 turn.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Turns to milliradians. Rule Calculator. https://rulecalculators.com/convert/turn-to-milliradian
- MLA
- "Convert Turns to milliradians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/turn-to-milliradian.
- Chicago
- Rule Calculator. "Convert Turns to milliradians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/turn-to-milliradian.
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Questions people actually ask
- How many milliradians are in a turn?
- 6283.1853. 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.
- How do I convert milliradians back to turns?
- Divide by 6283.1853, or multiply by 1.5915 × 10^-4 — they are the same operation.
Other angle conversions
Milliradians to turns — the same conversion the other way.