Convert radians to milliradians
Type the number of radians that you wish to convert to milliradians.
How to Convert Radians to Milliradians
The radian and milliradian are both units of angle. By definition, 1 radian equals exactly 1000 milliradians. This means to convert radians to milliradians, you multiply by 1000.
Formula
Step-by-Step Example
Convert 5 rad to milliradians:
We need to convert radians to milliradians
Since 1 rad = 1000 mrad, multiply by 1000
5 × 1000 = 5000
5 rad = 5000 mrad
Radian to Milliradian Conversion Table
Quick reference table for common radian to milliradian conversions. Click any value for detailed calculation.
| Radians (rad) | Milliradians (mrad) |
|---|---|
| 0.1 rad | 100 mrad |
| 0.5 rad | 500 mrad |
| 1 rad | 1000 mrad |
| 2 rad | 2000 mrad |
| 5 rad | 5000 mrad |
| 10 rad | 10000 mrad |
| 25 rad | 25000 mrad |
| 50 rad | 50000 mrad |
| 100 rad | 100000 mrad |
About These Units
Radian (rad)
A radian (rad) is the SI unit of angle where the arc length equals the radius. One radian ≈ 57.3°. A full circle is 2π radians (≈6.28 rad). Radians are essential in calculus, physics, and engineering. Trigonometric functions in most programming languages use radians.
Milliradian (mrad)
A milliradian (mrad or mil) equals 0.001 radians or approximately 0.057°. Milliradians are used in military ballistics, optics, and laser rangefinding. NATO uses 6400 mils per circle. At 1000 meters, 1 mrad subtends 1 meter—convenient for range estimation.
Frequently Asked Questions
How do I convert radians to milliradians?
To convert radians to milliradians, multiply the value by 1000. For example, 10 rad = 10000 mrad.
How many milliradians are in 1 radian?
1 radian equals 1000 milliradians.
What is the formula for radians to milliradians?
The formula is: mrad = rad × 1000.