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To adjust a 1 ⁄ 4 MOA scope 3 MOA down and 1.5 MOA right, the scope needs to be adjusted 3 x 4 = 12 clicks down and 1.5 × 4 = 6 clicks right; To adjust a 1 ⁄ 8 MOA scope 3 MOA down and 1.5 MOA right, the scope needs to be adjusted 3 x 8 = 24 clicks down and 1.5 × 8 = 12 clicks right; Comparison of minute of arc (MOA) and milliradian (mrad).
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 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 ...
Mil-based reticles, being decimal in graduations, are by far more prevalent due to the ease and reliability of ranging calculations with the ubiquitous metric units, as each milliradian at each meter of distance simply corresponds to a subtension of 1 millimeter; while MOA-based reticles are more popular in civilian usage favoring imperial ...
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Comparison of milliradian (mil) and minute of arc (moa).. Since adjusting the point of impact to match the point of aim is relatively simple with any type of adjustable sights, the primary goal of accurizing is to increase the precision of the firearm, which is generally measured by looking at the dispersion of a number of shots fired at the same point of aim.
milliradian: 2000π: ≈0.057° The true milliradian is defined as a thousandth of a radian, which means that a rotation of one turn would equal exactly 2000π mrad (or approximately 6283.185 mrad). Almost all scope sights for firearms are calibrated to this definition.