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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).
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 ...
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
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.
Comparison of minute of arc (MOA) and milliradian (mrad). Another common system of measurement in firearm scopes is the milliradian (mrad). Zeroing an mrad based scope is easy for users familiar with base ten systems. The most common adjustment value in mrad based scopes is 1 / 10 mrad (which approximates 1 ⁄ 3 MOA).
Metric units [ edit ] When using the SI or metric units , shooting accuracy is more easily measured in milliradians ("mil" or "mrad" for short), which is an arc -based angular unit corresponding to 1/1,000th of a radian , and mathematically a direct ratio between the length of a circular arc and its radius .
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.
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