How to convert turns to milliradians
mrad = tr × 6,283.185307Multiply the value in turns by 6,283.185307. To go the other way, multiply by 0.0001591549431 (or divide by 6,283.185307).
A turn is larger than a milliradian: one turn contains 6,283.185307 milliradians.
Worked examples
- 1 turn (revolution)1 tr × 6,283.185307 = 6,283.185307 mrad
- 5 turns5 tr × 6,283.185307 = 31,415.92654 mrad
- 10 turns10 tr × 6,283.185307 = 62,831.85307 mrad
- 20 turns20 tr × 6,283.185307 = 125,663.7061 mrad
- 100 turns100 tr × 6,283.185307 = 628,318.5307 mrad
Turns to milliradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Turns (tr) | Milliradians (mrad) |
|---|---|
| 0.1 tr | 628.31853 mrad |
| 0.25 tr | 1,570.7963 mrad |
| 0.5 tr | 3,141.5927 mrad |
| 1 tr | 6,283.1853 mrad |
| 2 tr | 12,566.371 mrad |
| 3 tr | 18,849.556 mrad |
| 4 tr | 25,132.741 mrad |
| 5 tr | 31,415.927 mrad |
| 6 tr | 37,699.112 mrad |
| 7 tr | 43,982.297 mrad |
| 8 tr | 50,265.482 mrad |
| 9 tr | 56,548.668 mrad |
| 10 tr | 62,831.853 mrad |
| Turns (tr) | Milliradians (mrad) |
|---|---|
| 12 tr | 75,398.224 mrad |
| 15 tr | 94,247.78 mrad |
| 20 tr | 125,663.71 mrad |
| 25 tr | 157,079.63 mrad |
| 30 tr | 188,495.56 mrad |
| 40 tr | 251,327.41 mrad |
| 50 tr | 314,159.27 mrad |
| 75 tr | 471,238.9 mrad |
| 100 tr | 628,318.53 mrad |
| 250 tr | 1,570,796.3 mrad |
| 500 tr | 3,141,592.7 mrad |
| 1,000 tr | 6,283,185.3 mrad |
About the units
Turn (tr)
The turn (tr) is a unit of angle. One turn equals 6.283185307 radians (rad).
Milliradian (mrad)
The milliradian (mrad) is a unit of angle in the International System of Units (SI). One milliradian equals 0.001 radians (rad).
Frequently asked questions
How many milliradians are in one turn?
There are 6,283.185307 milliradians in one turn, and this value is exact by definition.
How do I convert turns to milliradians?
Multiply the number of turns by 6,283.185307. For example, 10 tr × 6,283.185307 = 62,831.85307 mrad.
How many turns are in one milliradian?
One milliradian equals 0.0001591549431 turns. That is the reverse factor, 1 ÷ 6,283.185307.
What is 10 turns in milliradians?
10 tr = 62,831.85307 mrad.
Is this tr to mrad 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.