Turns to Milliradians (tr → mrad)
Formula
1 tr = 6283.185307179586 mradConversion Table
| tr | mrad |
|---|---|
| 0 | 0 |
| 1.0000 | 6,283.2 |
| 2.0000 | 12,566 |
| 3.0000 | 18,850 |
| 4.0000 | 25,133 |
| 5.0000 | 31,416 |
| 6.0000 | 37,699 |
| 7.0000 | 43,982 |
| 8.0000 | 50,265 |
| 9.0000 | 56,549 |
| 10.000 | 62,832 |
| 11.000 | 69,115 |
| 12.000 | 75,398 |
| 13.000 | 81,681 |
| 14.000 | 87,965 |
| 15.000 | 94,248 |
| 16.000 | 100,530 |
| 17.000 | 106,810 |
| 18.000 | 113,100 |
| 19.000 | 119,380 |
| tr | mrad |
|---|---|
| 20.000 | 125,660 |
| 21.000 | 131,950 |
| 22.000 | 138,230 |
| 23.000 | 144,510 |
| 24.000 | 150,800 |
| 25.000 | 157,080 |
| 26.000 | 163,360 |
| 27.000 | 169,650 |
| 28.000 | 175,930 |
| 29.000 | 182,210 |
| 30.000 | 188,500 |
| 31.000 | 194,780 |
| 32.000 | 201,060 |
| 33.000 | 207,350 |
| 34.000 | 213,630 |
| 35.000 | 219,910 |
| 36.000 | 226,190 |
| 37.000 | 232,480 |
| 38.000 | 238,760 |
| 39.000 | 245,040 |
| tr | mrad |
|---|---|
| 40.000 | 251,330 |
| 41.000 | 257,610 |
| 42.000 | 263,890 |
| 43.000 | 270,180 |
| 44.000 | 276,460 |
| 45.000 | 282,740 |
| 46.000 | 289,030 |
| 47.000 | 295,310 |
| 48.000 | 301,590 |
| 49.000 | 307,880 |
| 50.000 | 314,160 |
| 51.000 | 320,440 |
| 52.000 | 326,730 |
| 53.000 | 333,010 |
| 54.000 | 339,290 |
| 55.000 | 345,580 |
| 56.000 | 351,860 |
| 57.000 | 358,140 |
| 58.000 | 364,420 |
| 59.000 | 370,710 |
| tr | mrad |
|---|---|
| 60.000 | 376,990 |
| 61.000 | 383,270 |
| 62.000 | 389,560 |
| 63.000 | 395,840 |
| 64.000 | 402,120 |
| 65.000 | 408,410 |
| 66.000 | 414,690 |
| 67.000 | 420,970 |
| 68.000 | 427,260 |
| 69.000 | 433,540 |
| 70.000 | 439,820 |
| 71.000 | 446,110 |
| 72.000 | 452,390 |
| 73.000 | 458,670 |
| 74.000 | 464,960 |
| 75.000 | 471,240 |
| 76.000 | 477,520 |
| 77.000 | 483,810 |
| 78.000 | 490,090 |
| 79.000 | 496,370 |
Turns to Milliradians Conversion
Converting Turns (tr) to Milliradians (mrad) is a common angle conversion. 1 tr equals 6,283.185307 mrad. For example, 100 tr is equal to 628,318.530718 mrad.
Quick Mental Math: Turns to Milliradians
0.01592 turns is about 100 milliradians, so use that as a quick check.
Why is converting Turns to Milliradians tricky?
turns to milliradians hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 tr = 6,283.185307 mrad. 5 tr = 31,415.926536 mrad. 10 tr = 62,831.853072 mrad. 25 tr = 157,079.632679 mrad. 50 tr = 314,159.265359 mrad. 100 tr = 628,318.530718 mrad.
What is Turns?
Turns (tr) is a unit of angle. A turn represents one complete rotation or revolution around a circle, equivalent to 360 degrees or 2π radians. It defines an angle of exactly 1 turn = 2π radians, or about 6.28318 radians, aligning with ISO 80000 standards. This unit is used in fields requiring angular measurement, such as engineering and physics [iso-80000]. The concept of a turn as a full circle has existed since ancient mathematics, but formal standardization as a unit of angle was recognized in the 20th century through ISO standards to unify angular measurement [iso-80000]. Turns are used internationally in engineering, robotics, and navigation for expressing rotational movement. It is recognized by ISO and adopted in scientific contexts worldwide [iso-80000].
What is Milliradians?
Milliradians (mrad) is a unit of angle. The milliradian (mrad) is an angular measurement unit equal to one-thousandth of a radian. Since 1 radian equals approximately 57.2958 degrees, 1 mrad equals 0.0573 degrees. It is primarily used in ballistics, optics, and surveying for angular precision [bipm-si-brochure]. The radian was formally defined in the early 20th century as a standard SI unit of angle. The milliradian emerged as a practical subdivision for fine angular measurements, adopted by military and scientific communities for targeting and measurement accuracy [nist-si-guide]. Milliradians are standard in NATO countries' military aiming devices, European surveying, and optical instrumentation globally. The unit is recognized by BIPM as a derived SI unit for plane angle [bipm-si-brochure].
Common Misspellings
People often search for this conversion using these alternate spellings: turnes, tourn, torn, turns, milli radian, millirad, miliradian, mradn, milirads. All of these refer to the Turns to Milliradians conversion.