Revolutions to Milliradians Conversion (r to mrad)

Revolutions to Milliradians Converter

Enter the angle in revolutions below to convert it to milliradians.

Result in Milliradians:

1 r = 6,283.185307 mrad

How to Convert Revolutions to Milliradians

To convert a measurement in revolutions to a measurement in milliradians, multiply the angle by the following conversion ratio: 6,283.185307 milliradians/revolution.

Since one revolution is equal to 6,283.185307 milliradians, you can use this simple formula to convert:

milliradians = revolutions × 6,283.185307

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

For example, here's how to convert 5 revolutions to milliradians using the formula above.

milliradians = (5 r × 6,283.185307) = 31,415.926536 mrad

How Many Milliradians Are in a Revolution?

There are 6,283.185307 milliradians in a revolution, which is why we use this value in the formula above.

1 r = 6,283.185307 mrad

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

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.

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.

Revolution to Milliradian Conversion Table

Table showing various revolution measurements converted to milliradians.
Revolutions	Milliradians
0.001 r	6.2832 mrad
0.002 r	12.57 mrad
0.003 r	18.85 mrad
0.004 r	25.13 mrad
0.005 r	31.42 mrad
0.006 r	37.7 mrad
0.007 r	43.98 mrad
0.008 r	50.27 mrad
0.009 r	56.55 mrad
0.01 r	62.83 mrad
0.02 r	125.66 mrad
0.03 r	188.5 mrad
0.04 r	251.33 mrad
0.05 r	314.16 mrad
0.06 r	376.99 mrad
0.07 r	439.82 mrad
0.08 r	502.65 mrad
0.09 r	565.49 mrad
0.1 r	628.32 mrad
0.2 r	1,257 mrad
0.3 r	1,885 mrad
0.4 r	2,513 mrad
0.5 r	3,142 mrad
0.6 r	3,770 mrad
0.7 r	4,398 mrad
0.8 r	5,027 mrad
0.9 r	5,655 mrad
1 r	6,283 mrad

Table showing various revolution measurements converted to milliradians.

Revolutions

Milliradians

0.001 r

6.2832 mrad

0.002 r

12.57 mrad

0.003 r

18.85 mrad

0.004 r

25.13 mrad

0.005 r

31.42 mrad

0.006 r

37.7 mrad

0.007 r

43.98 mrad

0.008 r

50.27 mrad

0.009 r

56.55 mrad

0.01 r

62.83 mrad

0.02 r

125.66 mrad

0.03 r

188.5 mrad

0.04 r

251.33 mrad

0.05 r

314.16 mrad

0.06 r

376.99 mrad

0.07 r

439.82 mrad

0.08 r

502.65 mrad

0.09 r

565.49 mrad

0.1 r

628.32 mrad

0.2 r

1,257 mrad

0.3 r

1,885 mrad

0.4 r

2,513 mrad

0.5 r

3,142 mrad

0.6 r

3,770 mrad

0.7 r

4,398 mrad

0.8 r

5,027 mrad

0.9 r

5,655 mrad

1 r

6,283 mrad