Convert milliradians to radians
Type the number of milliradians that you wish to convert to radians.
How to Convert Milliradians to Radians
The milliradian and radian are both units of angle. By definition, 1 radian equals exactly 1000 milliradians. This means to convert milliradians to radians, you divide by 1000.
Formula
Step-by-Step Example
Convert 5 mrad to radians:
We need to convert milliradians to radians
Since 1 rad = 1000 mrad, divide by 1000
5 ÷ 1000 = 0.005
5 mrad = 0.005 rad
Milliradian to Radian Conversion Table
Quick reference table for common milliradian to radian conversions. Click any value for detailed calculation.
| Milliradians (mrad) | Radians (rad) |
|---|---|
| 0.1 mrad | 1e-4 rad |
| 0.5 mrad | 0.0005 rad |
| 1 mrad | 0.001 rad |
| 2 mrad | 0.002 rad |
| 5 mrad | 0.005 rad |
| 10 mrad | 0.01 rad |
| 25 mrad | 0.025 rad |
| 50 mrad | 0.05 rad |
| 100 mrad | 0.1 rad |
About These Units
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.
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.
Frequently Asked Questions
How do I convert milliradians to radians?
To convert milliradians to radians, divide the value by 1000. For example, 10 mrad = 0.01 rad.
How many radians are in 1 milliradian?
1 milliradian equals 0.001 radians.
What is the formula for milliradians to radians?
The formula is: rad = mrad ÷ 1000.