Arc Second to Mil Converter
Angle · unit-converter
Convert Arc Second 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 Second
An arc second is 1/60 of an arc minute or 1/3600 of a degree. Common in astronomy and very fine angular resolution.
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 seconds to mils (nato, 6400)
1 arc second equals 0.0049382716049382715 mil in this tool (via radian):
1 arcsec = (0.00000484813681109536 rad ÷ 0.0009817477042468104 rad) mil = 0.0049382716049382715 mil
Each arc second carries 0.00000484813681109536 rad and each mil 0.0009817477042468104 rad, so one arcsec equals 0.00000484813681109536 ÷ 0.0009817477042468104 mil.
Let θ(arcsec) be the angle in Arc Second (arcsec), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(arcsec) × (0.00000484813681109536 / 0.0009817477042468104)
Equivalently, divide by how many arcsec fit into one mil (rad per mil divided by rad per arcsec):
θ(mil) = θ(arcsec) ÷ 202.5
Examples
Example #1: Convert 1 arcsec to mil
1 arcsec = 1 arcsec × (0.00000484813681109536/0.0009817477042468104) mil = 0.0049382716 mil
1 arcsec = 1 arcsec ÷ 202.5 = 0.0049382716 mil
1 arcsec × (0.00000484813681109536/0.0009817477042468104) = 0.004938 mil
Example #2: Convert 10 arcsec to mil
10 arcsec = 10 arcsec × (0.00000484813681109536/0.0009817477042468104) mil = 0.049382716 mil
10 arcsec = 10 arcsec ÷ 202.5 = 0.049382716 mil
10 arcsec × (0.00000484813681109536/0.0009817477042468104) = 0.049383 mil
Summary
To convert Arc Second to Mil, multiply the value in arcsec by (0.00000484813681109536 rad per arcsec) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_arcsec × (0.00000484813681109536 / 0.0009817477042468104). Numerically, 1 arcsec equals 0.0049382716049382715 mil.
Relationship context
Both Arc Second and Mil are converted by fixed multiples of the radian. Multiplying by (rad per arcsec) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Second (arcsec) | Mil (mil) |
|---|---|
| 0.1 | 0.0004938272 |
| 1 | 0.0049382716 |
| 2 | 0.0098765432 |
| 3 | 0.0148148148 |
| 4 | 0.0197530864 |
| 5 | 0.024691358 |
| 6 | 0.0296296296 |
| 7 | 0.0345679012 |
| 8 | 0.0395061728 |
| 9 | 0.0444444444 |
| Arc Second (arcsec) | Mil (mil) |
|---|---|
| 10 | 0.049382716 |
| 20 | 0.0987654321 |
| 30 | 0.1481481481 |
| 40 | 0.1975308642 |
| 50 | 0.2469135802 |
| 60 | 0.2962962963 |
| 70 | 0.3456790123 |
| 80 | 0.3950617284 |
| 90 | 0.4444444444 |
| 100 | 0.4938271605 |