Microradian to Mil Converter
Angle · unit-converter
Convert Microradian 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 Microradian
A microradian is 1/1,000,000 radian. It is used for very small angular deviations in optics and precision metrology.
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 microradians to mils (nato, 6400)
1 microradian equals 0.0010185916357881302 mil in this tool (via radian):
1 urad = (0.000001 rad ÷ 0.0009817477042468104 rad) mil = 0.0010185916357881302 mil
Each microradian carries 0.000001 rad and each mil 0.0009817477042468104 rad, so one urad equals 0.000001 ÷ 0.0009817477042468104 mil.
Let θ(urad) be the angle in Microradian (urad), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(urad) × (0.000001 / 0.0009817477042468104)
Equivalently, divide by how many urad fit into one mil (rad per mil divided by rad per urad):
θ(mil) = θ(urad) ÷ 981.7477042468105
Examples
Example #1: Convert 1 urad to mil
1 urad = 1 urad × (0.000001/0.0009817477042468104) mil = 0.0010185916 mil
1 urad = 1 urad ÷ 981.7477042468105 = 0.0010185916 mil
1 urad × (0.000001/0.0009817477042468104) = 0.001019 mil
Example #2: Convert 10 urad to mil
10 urad = 10 urad × (0.000001/0.0009817477042468104) mil = 0.0101859164 mil
10 urad = 10 urad ÷ 981.7477042468105 = 0.0101859164 mil
10 urad × (0.000001/0.0009817477042468104) = 0.010186 mil
Summary
To convert Microradian to Mil, multiply the value in urad by (0.000001 rad per urad) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_urad × (0.000001 / 0.0009817477042468104). Numerically, 1 urad equals 0.0010185916357881302 mil.
Relationship context
Both Microradian and Mil are converted by fixed multiples of the radian. Multiplying by (rad per urad) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Microradian (urad) | Mil (mil) |
|---|---|
| 0.1 | 0.0001018592 |
| 1 | 0.0010185916 |
| 2 | 0.0020371833 |
| 3 | 0.0030557749 |
| 4 | 0.0040743665 |
| 5 | 0.0050929582 |
| 6 | 0.0061115498 |
| 7 | 0.0071301415 |
| 8 | 0.0081487331 |
| 9 | 0.0091673247 |
| Microradian (urad) | Mil (mil) |
|---|---|
| 10 | 0.0101859164 |
| 20 | 0.0203718327 |
| 30 | 0.0305577491 |
| 40 | 0.0407436654 |
| 50 | 0.0509295818 |
| 60 | 0.0611154981 |
| 70 | 0.0713014145 |
| 80 | 0.0814873309 |
| 90 | 0.0916732472 |
| 100 | 0.1018591636 |