Milliradians to Revolutions Converter

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

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1 mrad = 0.000159 r

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How to Convert Milliradians to Revolutions

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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:

revolutions = milliradians × 0.000159

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

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

What is a Milliradian?

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.

Learn more about milliradians.

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.

Learn more about revolutions.

Milliradian to Revolution Conversion Table

Table showing various milliradian measurements converted to revolutions.
Milliradians Revolutions
1 mrad 0.000159 r
2 mrad 0.000318 r
3 mrad 0.000477 r
4 mrad 0.000637 r
5 mrad 0.000796 r
6 mrad 0.000955 r
7 mrad 0.001114 r
8 mrad 0.001273 r
9 mrad 0.001432 r
10 mrad 0.001592 r
20 mrad 0.003183 r
30 mrad 0.004775 r
40 mrad 0.006366 r
50 mrad 0.007958 r
60 mrad 0.009549 r
70 mrad 0.011141 r
80 mrad 0.012732 r
90 mrad 0.014324 r
100 mrad 0.015915 r
200 mrad 0.031831 r
300 mrad 0.047746 r
400 mrad 0.063662 r
500 mrad 0.079577 r
600 mrad 0.095493 r
700 mrad 0.111408 r
800 mrad 0.127324 r
900 mrad 0.143239 r
1,000 mrad 0.159155 r
2,000 mrad 0.31831 r
3,000 mrad 0.477465 r
4,000 mrad 0.63662 r
5,000 mrad 0.795775 r
6,000 mrad 0.95493 r
7,000 mrad 1.1141 r
8,000 mrad 1.2732 r
9,000 mrad 1.4324 r
10,000 mrad 1.5915 r

More Milliradian & Revolution Conversions