Convert Milliradians to Revolutions

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

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1 mrad = 0.000159 r

How to Convert Milliradians to Revolutions

Protractors are often used to measure angle

To convert a milliradian measurement to a revolution measurement, multiply the angle by the conversion ratio. One milliradian is equal to 0.000159 revolutions, so use this simple formula to convert:

revolutions = milliradians × 0.000159

The angle in revolutions is equal to the milliradians multiplied by 0.000159.

For example, here's how to convert 5 milliradians to revolutions using the formula above.
5 mrad = (5 × 0.000159) = 0.000796 r

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

Milliradians

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.

Revolutions

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.

Milliradian Measurements and Equivalent Revolution Conversions

Common milliradian values converted to the equivalent revolution value
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
11 mrad 0.001751 r
12 mrad 0.00191 r
13 mrad 0.002069 r
14 mrad 0.002228 r
15 mrad 0.002387 r
16 mrad 0.002546 r
17 mrad 0.002706 r
18 mrad 0.002865 r
19 mrad 0.003024 r
20 mrad 0.003183 r
21 mrad 0.003342 r
22 mrad 0.003501 r
23 mrad 0.003661 r
24 mrad 0.00382 r
25 mrad 0.003979 r
26 mrad 0.004138 r
27 mrad 0.004297 r
28 mrad 0.004456 r
29 mrad 0.004615 r
30 mrad 0.004775 r
31 mrad 0.004934 r
32 mrad 0.005093 r
33 mrad 0.005252 r
34 mrad 0.005411 r
35 mrad 0.00557 r
36 mrad 0.00573 r
37 mrad 0.005889 r
38 mrad 0.006048 r
39 mrad 0.006207 r
40 mrad 0.006366 r

More Milliradian Angle Conversions

Convert to Radians
1 mrad is equal to 0.001 radians
Convert to Degrees
1 mrad is equal to 0.057296 degrees
Convert to Minutes Of Arc
1 mrad is equal to 3.437747 minutes of arc
Convert to Seconds Of Arc
1 mrad is equal to 206.264806 seconds of arc
Convert to Gradians
1 mrad is equal to 0.063662 gradians
Convert to Circles
1 mrad is equal to 0.000159 circles
Convert to Mils (NATO)
1 mrad is equal to 1.018592 mils (NATO)