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Comparison of milliradian (mrad) and minute of arc (moa). In the table below conversions from mrad to metric values are exact (e.g. 0.1 mrad equals exactly 1 cm at 100 meters), while conversions of minutes of arc to both metric and imperial values are approximate.
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
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 ...
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 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.
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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