Arc Minute to Mil Converter
Angle · unit-converter
Convert Arc Minute 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 Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
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 arc minutes to mils (nato, 6400)
1 arc minute equals 0.2962962962962963 mil in this tool (via radian):
1 arcmin = (0.0002908882086657216 rad ÷ 0.0009817477042468104 rad) mil = 0.2962962962962963 mil
Each arc minute carries 0.0002908882086657216 rad and each mil 0.0009817477042468104 rad, so one arcmin equals 0.0002908882086657216 ÷ 0.0009817477042468104 mil.
Let θ(arcmin) be the angle in Arc Minute (arcmin), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(arcmin) × (0.0002908882086657216 / 0.0009817477042468104)
Equivalently, divide by how many arcmin fit into one mil (rad per mil divided by rad per arcmin):
θ(mil) = θ(arcmin) ÷ 3.3750000000000004
Examples
Example #1: Convert 1 arcmin to mil
1 arcmin = 1 arcmin × (0.0002908882086657216/0.0009817477042468104) mil = 0.2962962963 mil
1 arcmin = 1 arcmin ÷ 3.3750000000000004 = 0.2962962963 mil
1 arcmin × (0.0002908882086657216/0.0009817477042468104) = 0.296296 mil
Example #2: Convert 10 arcmin to mil
10 arcmin = 10 arcmin × (0.0002908882086657216/0.0009817477042468104) mil = 2.962962963 mil
10 arcmin = 10 arcmin ÷ 3.3750000000000004 = 2.962962963 mil
10 arcmin × (0.0002908882086657216/0.0009817477042468104) = 2.962963 mil
Summary
To convert Arc Minute to Mil, multiply the value in arcmin by (0.0002908882086657216 rad per arcmin) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_arcmin × (0.0002908882086657216 / 0.0009817477042468104). Numerically, 1 arcmin equals 0.2962962962962963 mil.
Relationship context
Both Arc Minute and Mil are converted by fixed multiples of the radian. Multiplying by (rad per arcmin) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Minute (arcmin) | Mil (mil) |
|---|---|
| 0.1 | 0.0296296296 |
| 1 | 0.2962962963 |
| 2 | 0.5925925926 |
| 3 | 0.8888888889 |
| 4 | 1.1851851852 |
| 5 | 1.4814814815 |
| 6 | 1.7777777778 |
| 7 | 2.0740740741 |
| 8 | 2.3703703704 |
| 9 | 2.6666666667 |
| Arc Minute (arcmin) | Mil (mil) |
|---|---|
| 10 | 2.962962963 |
| 20 | 5.9259259259 |
| 30 | 8.8888888889 |
| 40 | 11.8518518519 |
| 50 | 14.8148148148 |
| 60 | 17.7777777778 |
| 70 | 20.7407407407 |
| 80 | 23.7037037037 |
| 90 | 26.6666666667 |
| 100 | 29.6296296296 |