unit

milliradian

A milliradian is a unit of angular measurement equal to one-thousandth of a radian.
21 related articles

Description

A milliradian is a unit of angular measurement equal to one-thousandth of a radian. Since a full circle contains 2π radians, a milliradian is a very small angle — about 0.057 degrees. It is commonly used in fields where precise small angles matter, such as optics, ballistics, and engineering, because it provides a convenient scale for describing beam divergence, alignment errors, or aiming adjustments.

History

The milliradian as a unit became widely used in the 20th century, particularly with the development of optical instruments and military rangefinding. The concept of the radian itself dates to the 18th century, but the milliradian gained prominence with the adoption of metric-based angular measurements in artillery and surveying.

How it works

The radian is defined as the angle subtended at the center of a circle by an arc equal in length to the radius. A milliradian is simply that angle divided by 1000. In practical terms, at a distance of 1000 meters, one milliradian corresponds to an offset of 1 meter perpendicular to the line of sight. This linear relationship makes it easy to convert angular measurements to physical distances.

In practice

Milliradians are used to specify the divergence of laser beams, the field of view of optical instruments, and the adjustment increments of rifle scopes and telescopic sights.

Fun fact

At a distance of one kilometer, a milliradian spans exactly one meter, which is why military snipers often use mil-based reticles for range estimation.

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Related articles · 21

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Quantum Physics2026-02-082 minarXiv:2602.07926express
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