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A milliradian (SI-symbol mrad, sometimes also abbreviated mil) is an SI derived unit for angular measurement which is defined as a thousandth of a radian (0.001 radian). Milliradians are used in adjustment of firearm sights by adjusting the angle of the sight compared to the barrel (up, down, left, or right).
Stadiametric rangefinding often uses the milliradian ("mil" or "mrad") as the unit of angular measurement. Since a radian is defined as the angle formed when the length of a circular arc equals the radius of the circle, a milliradian is the angle formed when the length of a circular arc equals 1/1000 of the radius of the circle.
Conversion between true milliradian and derived units for maps and artillery; Milliradian NATO mil Warsaw Pact Mil Swedish streck Turn Degrees Minute of arc; 1 milliradian = 1: 1.018 592: 0.954 930: 1.002 677: 1 ⁄ 2000 π 9 / 50π ≈ 0.057 296 54 / 5π ≈ 3.437 747: 1 NATO mil = 0.981 719: 1: 0.9375: 0.984 375: 1 ⁄ 6400: 0 ...
Metric prefixes for submultiples are used with radians. A milliradian (mrad) is a thousandth of a radian (0.001 rad), i.e. 1 rad = 10 3 mrad. There are 2 π × 1000 milliradians (≈ 6283.185 mrad) in a circle. So a milliradian is just under 1 / 6283 of the angle subtended by a full circle.
Conversion of various sight adjustment increment Increment, or click (mins of arc) (milli-radians) At 100 m At 100 yd ()()()()1 ⁄ 12 ′ : 0.083′ 0.024 mrad 2.42 mm
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The metric system counterpart of the MOA is the milliradian (mrad or 'mil'), being equal to 1 ⁄ 1000 of the target range, laid out on a circle that has the observer as centre and the target range as radius.
Metric units are units based on the metre, gram or second and decimal (power of ten) multiples or sub-multiples of these. According to Schadow and McDonald, [ 1 ] metric units, in general, are those units "defined 'in the spirit' of the metric system, that emerged in late 18th century France and was rapidly adopted by scientists and engineers.