Milliradians to Revolutions Conversion (mrad to r)

Milliradians to Revolutions Converter

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

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Result in Revolutions:

1 mrad = 0.000159 r

How to Convert Milliradians to Revolutions

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

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