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A common adjustment value in firearm sights is 1 cm at 100 meters which equals 10 mm / 100 m = 1 / 10 mrad. The true definition of a milliradian is based on a unit circle with a radius of one and an arc divided into 1,000 mrad per radian, hence 2,000 π or approximately 6,283.185 milliradians in one turn , and rifle scope ...
The metric system counterpart of the MOA is the milliradian ... 1′ at 100 yards is about 1.047 inches [20] 1′ ≈ 0.291 mrad (or 29.1 mm at 100 m, approximately ...
The USMC standard is that 1 mil (that is, 1 milliradian) equals 3.438 MOA (minute of arc, or, equivalently, minute of angle), while the US Army standard is 3.6 MOA, chosen so as to give a diameter of 1 yard at a distance of 1,000 yards (or equivalently, a diameter of 1 meter at a range of 1 kilometer.) Many commercial manufacturers use 3.5 ...
And conversely, the group size of 1 milliradian at 100 meters (the default metric sighting-in distance) can be determined just as easily: 1 milliradian at 100 meters distance = 100 millimeters = 10 centimeters {\displaystyle {\text{1 milliradian at 100 meters distance}}={\text{100 millimeters}}={\text{10 centimeters}}}
The most commonly seen click values are 1 ⁄ 4 MOA (often expressed in approximations as "1 ⁄ 4 inch at 100 yards") and 0.1 mil (often expressed as "10 mm at 100 meters"), although other click values such as 1 ⁄ 2 MOA, 1 ⁄ 3 MOA or 1 ⁄ 8 MOA and other mil increments are also present on the commercial and military and law enforcement ...
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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
yard (International) yd ... milliradian: mrad ≡ 1 ... 1 ⁄ 100 of the energy required to warm one gram of air-free water from 0 °C to 100 °C at a pressure of 1 atm