Mil to Milliradian Converter
Angle · unit-converter
Convert Mil to Milliradian with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through radians with fixed definitions (360° per turn, 400 grad per turn, 60′ per degree, 60″ per minute, plus practical units like MOA, urad, and NATO 6400 mils per turn).
About Mil
NATO mils split a full circle into 6,400 parts for artillery and tactical optics; 1 mil = 2π/6400 rad.
About Milliradian
A milliradian is 1/1000 radian. Used in ballistics, long-range shooting, and engineering for small angles.
How to convert mils (nato, 6400) to milliradians
1 mil equals 0.9817477042468105 milliradian in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 0.001 rad) mrad = 0.9817477042468105 mrad
Each mil carries 0.0009817477042468104 rad and each milliradian 0.001 rad, so one mil equals 0.0009817477042468104 ÷ 0.001 mrad.
Let θ(mil) be the angle in Mil (mil), and θ(mrad) in Milliradian (mrad). Then:
θ(mrad) = θ(mil) × (0.0009817477042468104 / 0.001)
Equivalently, divide by how many mil fit into one mrad (rad per mrad divided by rad per mil):
θ(mrad) = θ(mil) ÷ 1.0185916357881302
Examples
Example #1: Convert 1 mil to milliradian
1 mil = 1 mil × (0.0009817477042468104/0.001) mrad = 0.9817477042 mrad
1 mil = 1 mil ÷ 1.0185916357881302 = 0.9817477042 mrad
1 mil × (0.0009817477042468104/0.001) = 0.981748 mrad
Example #2: Convert 10 mil to milliradian
10 mil = 10 mil × (0.0009817477042468104/0.001) mrad = 9.8174770425 mrad
10 mil = 10 mil ÷ 1.0185916357881302 = 9.8174770425 mrad
10 mil × (0.0009817477042468104/0.001) = 9.817477 mrad
Summary
To convert Mil to Milliradian, multiply the value in mil by (0.0009817477042468104 rad per mil) / (0.001 rad per mrad). Equivalently: value_mrad = value_mil × (0.0009817477042468104 / 0.001). Numerically, 1 mil equals 0.9817477042468105 mrad.
Relationship context
Both Mil and Milliradian are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per mrad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Milliradian (mrad) |
|---|---|
| 0.1 | 0.0981747704 |
| 1 | 0.9817477042 |
| 2 | 1.9634954085 |
| 3 | 2.9452431127 |
| 4 | 3.926990817 |
| 5 | 4.9087385212 |
| 6 | 5.8904862255 |
| 7 | 6.8722339297 |
| 8 | 7.853981634 |
| 9 | 8.8357293382 |
| Mil (mil) | Milliradian (mrad) |
|---|---|
| 10 | 9.8174770425 |
| 20 | 19.6349540849 |
| 30 | 29.4524311274 |
| 40 | 39.2699081699 |
| 50 | 49.0873852123 |
| 60 | 58.9048622548 |
| 70 | 68.7223392973 |
| 80 | 78.5398163397 |
| 90 | 88.3572933822 |
| 100 | 98.1747704247 |