Enter the angle in radians below to get the value converted to milliradians. The calculator supports values containing decimals, fractions, and π: (π/2, 1/2π, etc) ## How to Convert Radians to Milliradians

To convert a radian measurement to a milliradian measurement, multiply the angle by the conversion ratio.

Since one radian is equal to 1,000 milliradians, you can use this simple formula to convert:

The angle in milliradians is equal to the radians multiplied by 1,000.

For example, here's how to convert 5 radians to milliradians using the formula above.
5 rad = (5 × 1,000) = 5,000 mrad ### How Many Milliradians Are in a Radian?

There are 1,000 milliradians in a radian, which is why we use this value in the formula above.

Radians and milliradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as rad, and are also sometimes abbreviated as c, r, or R. For example, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

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.