Radians to Mils (Soviet) (rad to mil)
1 radian equals 954.9296586 mils (Soviet) (rounded).
How to convert radians to mils (Soviet)
To convert radians to mils (Soviet), multiply the number of radians by 954.9296586. The factor is rounded to 10 significant digits. To go the other way, multiply mils (Soviet) by 0.001047197551 (rounded).
mils (Soviet) = radians × 954.9296586
Example: 10 radians = 9,549.296586 mils (Soviet).
About these units
Radian (rad)
The SI unit of angle: the angle at the center of a circle subtended by an arc equal in length to the radius. A full turn is 2π radians (about 6.2832).
The radian builds its unit out of the circle itself. Lay a length of string equal to the radius along the circumference, and the angle that arc makes at the center is one radian. The SI Brochure calls it the coherent unit of plane angle, and it also serves as the coherent unit of phase angle, which grows by 2π radians over one period of a repeating wave. The same document notes that you could write rad as m/m, but warns that this is not intrinsic and can mislead, since angle is not the same kind of quantity as an ordinary ratio of lengths. It also records an alternative definition: a right angle equals π/2 radian.
A circle's circumference is 2π times its radius, so a full turn is 2π radians, about 6.2832, which makes one radian roughly 57.3 degrees, or about 0.159 of a turn. The SI Brochure's table of derived units expresses angular velocity in radians per second.
1 radian = 0.1591549431 turns (approximately).
Sources: BIPM SI Brochure, 9th edition (2019); Wikipedia: Angle; NIST Guide to the SI, Appendix B.8 (angle conversion factors)
Mil (Soviet) (mil)
One 6,000th of a full turn (0.06 degree), the Soviet and Russian military angular unit.
The Soviet mil divides the circle into 6,000 parts, so each is 0.06 degree and 100 mils equal 6 degrees. That is about 1.047 milliradians, a little more than a true milliradian, covering roughly 1.05 meters at a distance of 1 kilometer. A quarter turn is 1,500 mils, and 1,000 mils equals 60 degrees. The scheme was used across the former Soviet Union, and Finland also used it before starting to move to the NATO standard.
The 6,000 circle is one of several rounded versions of the milliradian found in military use. NATO's circle holds 6,400, the Swedish streck system held 6,300 until Sweden moved to NATO mils around 2007, and a true milliradian gives about 6,283. Sights built for one standard cannot be mixed casually with another. The East German Carl Zeiss OEM-2 artillery sight, for example, is calibrated for the 6,000-mil circle.
1 mil (Soviet) = 0.0001666666667 turns (approximately).
Sources: Wikipedia: Angular mil; Wikipedia: Angle; Wikipedia: Milliradian
Related conversions
- Mils (Soviet) to radians (reverse)
- Radians to degrees
- Radians to gradians
- Radians to turns
- Radians to arcminutes
- Radians to arcseconds
- Radians to milliarcseconds
- Radians to milliradians
- Radians to right angles
- Radians to octants
- Radians to sextants
- Radians to hour angles
- Radians to mils (NATO)
- Degrees to mils (Soviet)
See all angle units.