Convert Revolutions to Milliradians

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

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1 r = 6,283.185307 mrad

How to Convert Revolutions to Milliradians

Protractors are often used to measure angle

To convert a revolution measurement to a milliradian measurement, multiply the angle by the conversion ratio. One revolution is equal to 6,283.185307 milliradians, so use this simple formula to convert:

milliradians = revolutions × 6,283.185307

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

For example, here's how to convert 5 revolutions to milliradians using the formula above.
5 r = (5 × 6,283.185307) = 31,415.926536 mrad

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

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.

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.

Revolution Measurements and Equivalent Milliradian Conversions

Common revolution values converted to the equivalent milliradian value
Revolutions Milliradians
1 r 6,283 mrad
2 r 12,566 mrad
3 r 18,850 mrad
4 r 25,133 mrad
5 r 31,416 mrad
6 r 37,699 mrad
7 r 43,982 mrad
8 r 50,265 mrad
9 r 56,549 mrad
10 r 62,832 mrad
11 r 69,115 mrad
12 r 75,398 mrad
13 r 81,681 mrad
14 r 87,965 mrad
15 r 94,248 mrad
16 r 100,531 mrad
17 r 106,814 mrad
18 r 113,097 mrad
19 r 119,381 mrad
20 r 125,664 mrad
21 r 131,947 mrad
22 r 138,230 mrad
23 r 144,513 mrad
24 r 150,796 mrad
25 r 157,080 mrad
26 r 163,363 mrad
27 r 169,646 mrad
28 r 175,929 mrad
29 r 182,212 mrad
30 r 188,496 mrad
31 r 194,779 mrad
32 r 201,062 mrad
33 r 207,345 mrad
34 r 213,628 mrad
35 r 219,911 mrad
36 r 226,195 mrad
37 r 232,478 mrad
38 r 238,761 mrad
39 r 245,044 mrad
40 r 251,327 mrad

More Revolution Angle Conversions

Convert to Radians
1 r is equal to 6.283185 radians
Convert to Degrees
1 r is equal to 360 degrees
Convert to Minutes Of Arc
1 r is equal to 21,600 minutes of arc
Convert to Seconds Of Arc
1 r is equal to 1,296,000 seconds of arc
Convert to Gradians
1 r is equal to 400 gradians
Convert to Circles
1 r is equal to 1 circles
Convert to Mils (NATO)
1 r is equal to 6,400 mils (NATO)