Arcminutes to Milliradians Converter

To convert a measurement in arcminutes to milliradians, multiply the value by 0.290888208666. The conversion factor comes from the relationship between both units and the radian.

For example, to convert 5 ′ to milliradians: 5 × 0.290888208666 = 1.454441 mrad.

An arcminute is a unit of angle equal to 1/60 of a degree, or 1/21,600 of a full turn. It is written with a prime symbol (′). Like the degree, the arcminute comes from the Babylonian sexagesimal system, which subdivided the degree into 60 parts. It remains standard for expressing small angles in astronomy and precise navigation.

Common uses of arcminutes include: Astronomy — apparent size and position of stars; GPS and latitude/longitude fractions; Vision measurement (visual acuity, minutes of arc); Firearms and optics (minute of angle, MOA).

A milliradian is one thousandth of a radian. At a distance of 1,000 units it subtends almost exactly 1 unit, which makes it convenient for range and angle estimation. The milliradian became widely used in the military for artillery and rifle sighting because of its clean relationship between angle and distance. Riflescopes commonly use 'mil' adjustments and reticles based on it.

Common uses of milliradians include: Rifle and artillery sighting (mil-dot reticles); Range estimation from known target size; Laser divergence and beam-spread specifications; Precision optics and alignment.

Here are some common values converted:

1 ′ = 0.290888208666 mrad 5 ′ = 1.454441 mrad 10 ′ = 2.908882 mrad 50 ′ = 14.54441 mrad 100 ′ = 29.088821 mrad