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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.
English: Table for range estimation showing target sizes, distances and corresponding angular measurments. Angular sizes are given in milliradians (mrad), ranges in meters, and target sizes are shown in both in centimeters, millimeters and inches.
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Decigrades (1 ⁄ 4,000) were used with French artillery sights in World War I. An angular mil, which is most used in military applications, has at least three specific variants, ranging from 1 ⁄ 6,400 to 1 ⁄ 6,000. It is approximately equal to one milliradian (c. 1 ⁄ 6,283).
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).
Just like with the milliradian, each of the other definitions approximates the milliradian's useful property of subtensions, i.e. that the value of one milliradian approximately equals the angle subtended by a width of 1 meter as seen from 1 km away ( 2 π / 6400 = 0.0009817... ≈ 1 / 1000 ). binary degree: 256: 1°33′45″
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