Milliradian to Mil Converter
Angle · unit-converter
Convert Milliradian to Mil 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 Milliradian
A milliradian is 1/1000 radian. Used in ballistics, long-range shooting, and engineering for small angles.
About Mil
NATO mils split a full circle into 6,400 parts for artillery and tactical optics; 1 mil = 2π/6400 rad.
How to convert milliradians to mils (nato, 6400)
1 milliradian equals 1.0185916357881302 mil in this tool (via radian):
1 mrad = (0.001 rad ÷ 0.0009817477042468104 rad) mil = 1.0185916357881302 mil
Each milliradian carries 0.001 rad and each mil 0.0009817477042468104 rad, so one mrad equals 0.001 ÷ 0.0009817477042468104 mil.
Let θ(mrad) be the angle in Milliradian (mrad), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(mrad) × (0.001 / 0.0009817477042468104)
Equivalently, divide by how many mrad fit into one mil (rad per mil divided by rad per mrad):
θ(mil) = θ(mrad) ÷ 0.9817477042468105
Examples
Example #1: Convert 1 mrad to mil
1 mrad = 1 mrad × (0.001/0.0009817477042468104) mil = 1.0185916358 mil
1 mrad = 1 mrad ÷ 0.9817477042468105 = 1.0185916358 mil
1 mrad × (0.001/0.0009817477042468104) = 1.018592 mil
Example #2: Convert 10 mrad to mil
10 mrad = 10 mrad × (0.001/0.0009817477042468104) mil = 10.1859163579 mil
10 mrad = 10 mrad ÷ 0.9817477042468105 = 10.1859163579 mil
10 mrad × (0.001/0.0009817477042468104) = 10.185916 mil
Summary
To convert Milliradian to Mil, multiply the value in mrad by (0.001 rad per mrad) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_mrad × (0.001 / 0.0009817477042468104). Numerically, 1 mrad equals 1.0185916357881302 mil.
Relationship context
Both Milliradian and Mil are converted by fixed multiples of the radian. Multiplying by (rad per mrad) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Milliradian (mrad) | Mil (mil) |
|---|---|
| 0.1 | 0.1018591636 |
| 1 | 1.0185916358 |
| 2 | 2.0371832716 |
| 3 | 3.0557749074 |
| 4 | 4.0743665432 |
| 5 | 5.0929581789 |
| 6 | 6.1115498147 |
| 7 | 7.1301414505 |
| 8 | 8.1487330863 |
| 9 | 9.1673247221 |
| Milliradian (mrad) | Mil (mil) |
|---|---|
| 10 | 10.1859163579 |
| 20 | 20.3718327158 |
| 30 | 30.5577490736 |
| 40 | 40.7436654315 |
| 50 | 50.9295817894 |
| 60 | 61.1154981473 |
| 70 | 71.3014145052 |
| 80 | 81.4873308631 |
| 90 | 91.6732472209 |
| 100 | 101.859163579 |