Minute of Angle (MOA) to Mil Converter
Angle · unit-converter
Convert Minute of Angle (MOA) 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 Minute of Angle (MOA)
Minute of angle (MOA) equals one arc minute (1/60 degree). It is widely used in firearms optics and precision aiming.
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 minutes of angle (moa) to mils (nato, 6400)
1 minute of angle (moa) equals 0.2962962962962963 mil in this tool (via radian):
1 moa = (0.0002908882086657216 rad ÷ 0.0009817477042468104 rad) mil = 0.2962962962962963 mil
Each minute of angle (moa) carries 0.0002908882086657216 rad and each mil 0.0009817477042468104 rad, so one moa equals 0.0002908882086657216 ÷ 0.0009817477042468104 mil.
Let θ(moa) be the angle in Minute of Angle (MOA) (moa), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(moa) × (0.0002908882086657216 / 0.0009817477042468104)
Equivalently, divide by how many moa fit into one mil (rad per mil divided by rad per moa):
θ(mil) = θ(moa) ÷ 3.3750000000000004
Examples
Example #1: Convert 1 moa to mil
1 moa = 1 moa × (0.0002908882086657216/0.0009817477042468104) mil = 0.2962962963 mil
1 moa = 1 moa ÷ 3.3750000000000004 = 0.2962962963 mil
1 moa × (0.0002908882086657216/0.0009817477042468104) = 0.296296 mil
Example #2: Convert 10 moa to mil
10 moa = 10 moa × (0.0002908882086657216/0.0009817477042468104) mil = 2.962962963 mil
10 moa = 10 moa ÷ 3.3750000000000004 = 2.962962963 mil
10 moa × (0.0002908882086657216/0.0009817477042468104) = 2.962963 mil
Summary
To convert Minute of Angle (MOA) to Mil, multiply the value in moa by (0.0002908882086657216 rad per moa) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_moa × (0.0002908882086657216 / 0.0009817477042468104). Numerically, 1 moa equals 0.2962962962962963 mil.
Relationship context
Both Minute of Angle (MOA) and Mil are converted by fixed multiples of the radian. Multiplying by (rad per moa) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Minute of Angle (MOA) (moa) | 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 |
| Minute of Angle (MOA) (moa) | 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 |