Enter the angle in gradians below to get the value converted to milliradians.  To convert a gradian measurement to a milliradian measurement, multiply the angle by the conversion ratio. One gradian is equal to 15.707963 milliradians, so use this simple formula to convert:

The angle in milliradians is equal to the gradians multiplied by 15.707963.

For example, here's how to convert 5 gradians to milliradians using the formula above.
5g = (5 × 15.707963) = 78.539816 mrad

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as (π/200) radians.

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.

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.