Convert Milliradian to Radian
Live bidirectional calculator for Milliradians (mrad) and Radians (rad) with verified formula and conversion charts.
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How the Calculation Works (Linear Scaling)
Since 1 Radian = 1000 Milliradians, divide the value in Milliradians by 1000.
Milliradian to Radian Conversion Table
Precomputed values for quick reference and printing.
| Milliradian | Radian |
|---|---|
| 1 mrad | 0.001 rad |
| 2 mrad | 0.002 rad |
| 3 mrad | 0.003 rad |
| 4 mrad | 0.004 rad |
| 5 mrad | 0.005 rad |
| 6 mrad | 0.006 rad |
| 7 mrad | 0.007 rad |
| 8 mrad | 0.008 rad |
| 9 mrad | 0.009 rad |
| 10 mrad | 0.01 rad |
| 15 mrad | 0.015 rad |
| 20 mrad | 0.02 rad |
| 25 mrad | 0.025 rad |
| 30 mrad | 0.03 rad |
| 40 mrad | 0.04 rad |
| 50 mrad | 0.05 rad |
| 75 mrad | 0.075 rad |
| 100 mrad | 0.1 rad |
| Radian | Milliradian |
|---|---|
| 1 rad | 1000 mrad |
| 2 rad | 2000 mrad |
| 3 rad | 3000 mrad |
| 4 rad | 4000 mrad |
| 5 rad | 5000 mrad |
| 6 rad | 6000 mrad |
| 7 rad | 7000 mrad |
| 8 rad | 8000 mrad |
| 9 rad | 9000 mrad |
| 10 rad | 10000 mrad |
| 15 rad | 15000 mrad |
| 20 rad | 20000 mrad |
| 25 rad | 25000 mrad |
| 30 rad | 30000 mrad |
| 40 rad | 40000 mrad |
| 50 rad | 50000 mrad |
| 75 rad | 75000 mrad |
| 100 rad | 100000 mrad |
About Milliradian (mrad)
One thousandth of a radian (10โปยณ rad), subtending 1 meter at a distance of 1,000 meters.
History: Adopted in modern military ballistics for range estimation and turret optical reticles.
Common Uses: Military optical reticles (mil dots), artillery target sighting, laser beam divergences.
About Radian (rad)
The SI coherent derived unit of plane angle, subtended by an arc of length equal to its radius (180ยฐ / ฯ โ 57.29578ยฐ).
History: Coined by mathematician James Thomson in 1873; fundamental to mathematical analysis and trigonometry.
Common Uses: Calculus, angular velocity (rad/s), physics orbital mechanics.
โ Frequently Asked Questions
How many Radians are in 1 Milliradian?
There are exactly 0.001 Radians in 1 Milliradian (1 mrad = 0.001 rad).
What is the formula to convert Milliradian to Radian?
The formula is: Radian = Milliradian / 1000. Since 1 Radian = 1000 Milliradians, divide the value in Milliradians by 1000.
How do I convert 1 mrad to rad manually?
To convert 1 mrad to rad: apply the formula Radian = Milliradian / 1000. Substituting gives: 1 / 1000 = 0.001 rad.