Mil to Arc Minute Converter
Angle · unit-converter
Convert Mil to Arc Minute 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 Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
How to convert mils (nato, 6400) to arc minutes
1 mil equals 3.3750000000000004 arc minute in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 0.0002908882086657216 rad) arcmin = 3.3750000000000004 arcmin
Each mil carries 0.0009817477042468104 rad and each arc minute 0.0002908882086657216 rad, so one mil equals 0.0009817477042468104 ÷ 0.0002908882086657216 arcmin.
Let θ(mil) be the angle in Mil (mil), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(mil) × (0.0009817477042468104 / 0.0002908882086657216)
Equivalently, divide by how many mil fit into one arcmin (rad per arcmin divided by rad per mil):
θ(arcmin) = θ(mil) ÷ 0.2962962962962963
Examples
Example #1: Convert 1 mil to arc minute
1 mil = 1 mil × (0.0009817477042468104/0.0002908882086657216) arcmin = 3.375 arcmin
1 mil = 1 mil ÷ 0.2962962962962963 = 3.375 arcmin
1 mil × (0.0009817477042468104/0.0002908882086657216) = 3.375000 arcmin
Example #2: Convert 10 mil to arc minute
10 mil = 10 mil × (0.0009817477042468104/0.0002908882086657216) arcmin = 33.75 arcmin
10 mil = 10 mil ÷ 0.2962962962962963 = 33.75 arcmin
10 mil × (0.0009817477042468104/0.0002908882086657216) = 33.750000 arcmin
Summary
To convert Mil to Arc Minute, multiply the value in mil by (0.0009817477042468104 rad per mil) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_mil × (0.0009817477042468104 / 0.0002908882086657216). Numerically, 1 mil equals 3.3750000000000004 arcmin.
Relationship context
Both Mil and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 0.3375 |
| 1 | 3.375 |
| 2 | 6.75 |
| 3 | 10.125 |
| 4 | 13.5 |
| 5 | 16.875 |
| 6 | 20.25 |
| 7 | 23.625 |
| 8 | 27 |
| 9 | 30.375 |
| Mil (mil) | Arc Minute (arcmin) |
|---|---|
| 10 | 33.75 |
| 20 | 67.5 |
| 30 | 101.25 |
| 40 | 135 |
| 50 | 168.75 |
| 60 | 202.5 |
| 70 | 236.25 |
| 80 | 270 |
| 90 | 303.75 |
| 100 | 337.5 |