Revolutions to Milliradians Converter
Enter the angle in revolutions below to convert it to milliradians.
Result in Milliradians:
Do you want to convert milliradians to revolutions?
On this page:
- Revolutions to Milliradians Converter
- How to Convert Revolutions to Milliradians
- How Many Milliradians Are in a Revolution?
- What Is a Revolution?
- What Is a Milliradian?
- Revolution to Milliradian Conversion Table
- More Revolution & Milliradian Conversions
- Angle Square IconConvert from Revolutions
- Angle Square IconConvert to Milliradians
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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
| 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 |