How to convert milliradians to turns
tr = mrad × 0.0001591549431Multiply the value in milliradians by 0.0001591549431. To go the other way, multiply by 6,283.185307 (or divide by 0.0001591549431).
A milliradian is smaller than a turn: it takes 6,283.185307 milliradians to make one turn.
Worked examples
- 1 milliradian1 mrad × 0.0001591549431 = 0.0001591549431 tr
- 5 milliradians5 mrad × 0.0001591549431 = 0.0007957747155 tr
- 10 milliradians10 mrad × 0.0001591549431 = 0.001591549431 tr
- 20 milliradians20 mrad × 0.0001591549431 = 0.003183098862 tr
- 100 milliradians100 mrad × 0.0001591549431 = 0.01591549431 tr
Milliradians to turns conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Milliradians (mrad) | Turns (tr) |
|---|---|
| 0.1 mrad | 0.000015915494 tr |
| 0.25 mrad | 0.000039788736 tr |
| 0.5 mrad | 0.000079577472 tr |
| 1 mrad | 0.00015915494 tr |
| 2 mrad | 0.00031830989 tr |
| 3 mrad | 0.00047746483 tr |
| 4 mrad | 0.00063661977 tr |
| 5 mrad | 0.00079577472 tr |
| 6 mrad | 0.00095492966 tr |
| 7 mrad | 0.0011140846 tr |
| 8 mrad | 0.0012732395 tr |
| 9 mrad | 0.0014323945 tr |
| 10 mrad | 0.0015915494 tr |
| Milliradians (mrad) | Turns (tr) |
|---|---|
| 12 mrad | 0.0019098593 tr |
| 15 mrad | 0.0023873241 tr |
| 20 mrad | 0.0031830989 tr |
| 25 mrad | 0.0039788736 tr |
| 30 mrad | 0.0047746483 tr |
| 40 mrad | 0.0063661977 tr |
| 50 mrad | 0.0079577472 tr |
| 75 mrad | 0.011936621 tr |
| 100 mrad | 0.015915494 tr |
| 250 mrad | 0.039788736 tr |
| 500 mrad | 0.079577472 tr |
| 1,000 mrad | 0.15915494 tr |
About the units
Milliradian (mrad)
The milliradian (mrad) is a unit of angle in the International System of Units (SI). One milliradian equals 0.001 radians (rad).
Turn (tr)
The turn (tr) is a unit of angle. One turn equals 6.283185307 radians (rad).
Frequently asked questions
How many turns are in one milliradian?
There are 0.0001591549431 turns in one milliradian, and this value is exact by definition.
How do I convert milliradians to turns?
Multiply the number of milliradians by 0.0001591549431. For example, 10 mrad × 0.0001591549431 = 0.001591549431 tr.
How many milliradians are in one turn?
One turn equals 6,283.185307 milliradians. That is the reverse factor, 1 ÷ 0.0001591549431.
What is 10 milliradians in turns?
10 mrad = 0.001591549431 tr.
Is this mrad to tr converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.
Convert milliradians to other units
- Milliradians to degrees
- Milliradians to radians
- Milliradians to gradians
- Milliradians to arcminutes
- Milliradians to arcseconds