Octants to Milliradians (oct → mrad)
Formula
1 oct = 785.3981633974482 mradConversion Table
| oct | mrad |
|---|---|
| 0 | 0 |
| 1.0000 | 785.40 |
| 2.0000 | 1,570.8 |
| 3.0000 | 2,356.2 |
| 4.0000 | 3,141.6 |
| 5.0000 | 3,927.0 |
| 6.0000 | 4,712.4 |
| 7.0000 | 5,497.8 |
| 8.0000 | 6,283.2 |
| 9.0000 | 7,068.6 |
| 10.000 | 7,854.0 |
| 11.000 | 8,639.4 |
| 12.000 | 9,424.8 |
| 13.000 | 10,210 |
| 14.000 | 10,996 |
| 15.000 | 11,781 |
| 16.000 | 12,566 |
| 17.000 | 13,352 |
| 18.000 | 14,137 |
| 19.000 | 14,923 |
| oct | mrad |
|---|---|
| 20.000 | 15,708 |
| 21.000 | 16,493 |
| 22.000 | 17,279 |
| 23.000 | 18,064 |
| 24.000 | 18,850 |
| 25.000 | 19,635 |
| 26.000 | 20,420 |
| 27.000 | 21,206 |
| 28.000 | 21,991 |
| 29.000 | 22,777 |
| 30.000 | 23,562 |
| 31.000 | 24,347 |
| 32.000 | 25,133 |
| 33.000 | 25,918 |
| 34.000 | 26,704 |
| 35.000 | 27,489 |
| 36.000 | 28,274 |
| 37.000 | 29,060 |
| 38.000 | 29,845 |
| 39.000 | 30,631 |
| oct | mrad |
|---|---|
| 40.000 | 31,416 |
| 41.000 | 32,201 |
| 42.000 | 32,987 |
| 43.000 | 33,772 |
| 44.000 | 34,558 |
| 45.000 | 35,343 |
| 46.000 | 36,128 |
| 47.000 | 36,914 |
| 48.000 | 37,699 |
| 49.000 | 38,485 |
| 50.000 | 39,270 |
| 51.000 | 40,055 |
| 52.000 | 40,841 |
| 53.000 | 41,626 |
| 54.000 | 42,412 |
| 55.000 | 43,197 |
| 56.000 | 43,982 |
| 57.000 | 44,768 |
| 58.000 | 45,553 |
| 59.000 | 46,338 |
| oct | mrad |
|---|---|
| 60.000 | 47,124 |
| 61.000 | 47,909 |
| 62.000 | 48,695 |
| 63.000 | 49,480 |
| 64.000 | 50,265 |
| 65.000 | 51,051 |
| 66.000 | 51,836 |
| 67.000 | 52,622 |
| 68.000 | 53,407 |
| 69.000 | 54,192 |
| 70.000 | 54,978 |
| 71.000 | 55,763 |
| 72.000 | 56,549 |
| 73.000 | 57,334 |
| 74.000 | 58,119 |
| 75.000 | 58,905 |
| 76.000 | 59,690 |
| 77.000 | 60,476 |
| 78.000 | 61,261 |
| 79.000 | 62,046 |
Octants to Milliradians Conversion
Converting Octants (oct) to Milliradians (mrad) is a common angle conversion. 1 oct equals 785.398163 mrad. For example, 100 oct is equal to 78,539.81634 mrad.
Quick Mental Math: Octants to Milliradians
0.01273 octants is about 10 milliradians, so use that as a quick check.
Why is converting Octants to Milliradians tricky?
octants 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 oct = 785.398163 mrad. 5 oct = 3,926.990817 mrad. 10 oct = 7,853.981634 mrad. 25 oct = 19,634.954085 mrad. 50 oct = 39,269.90817 mrad. 100 oct = 78,539.81634 mrad.
What is Octants?
Octants (oct) is a unit of angle. An octant is a unit of angular measurement equal to 45 degrees or one-eighth of a full circle (360 degrees). It is used in historical and navigational contexts to describe angular divisions. One octant corresponds to π/4 radians according to angular standards [iso-80000]. The octant dates to early navigation instruments developed in the 18th century, notably the reflecting octant invented by John Hadley in 1731. It was adopted to improve celestial navigation accuracy before the sextant became widespread [iso-80000]. While largely replaced by degrees and radians, octants remain referenced in historical navigation and maritime heritage. Some naval training and museums preserve knowledge of octants as part of seafaring traditions [nist-sp-811].
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: octent, octent angle, octons, octancts, milli radian, millirad, miliradian, mradn, milirads. All of these refer to the Octants to Milliradians conversion.