Enter the angle in circles below to get the value converted to milliradians. ## How to Convert Circles to Milliradians To convert a circle measurement to a milliradian measurement, multiply the angle by the conversion ratio. One circle is equal to 6,283.185307 milliradians, so use this simple formula to convert:

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

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

## Circles

A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir, for example 1 circle can be written as 1 cir.

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.