Enter the angle in revolutions below to get the value converted to milliradians. ## How to Convert Revolutions to Milliradians To convert a revolution measurement to a milliradian measurement, multiply the angle by the conversion ratio.

Since one revolution is equal to 6,283.185307 milliradians, you can use this simple formula to convert:

The angle in milliradians is equal to the revolutions multiplied by 6,283.185307.

For example, here's how to convert 5 revolutions to milliradians using the formula above.
5 r = (5 × 6,283.185307) = 31,415.926536 mrad

## Revolutions

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.

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians 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 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.