Enter the angle in milliradians below to get the value converted to revolutions.

Results in Revolutions: Do you want to convert revolutions to milliradians?

## How to Convert Milliradians to Revolutions

To convert a measurement in milliradians to a measurement in revolutions, multiply the angle by the following conversion ratio: 0.000159 revolutions/milliradian.

Since one milliradian is equal to 0.000159 revolutions, you can use this simple formula to convert:

The angle in revolutions is equal to the angle in milliradians multiplied by 0.000159.

For example, here's how to convert 5,000 milliradians to revolutions using the formula above.
revolutions = (5,000 mrad × 0.000159) = 0.795775 r

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for thousandths, or 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.

## What Is a Revolution?

A revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

## Milliradian to Revolution Conversion Table

Table showing various milliradian measurements converted to revolutions.