Degree to Mil Converter
Angle · unit-converter
Convert Degree 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
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 degrees to mils (nato, 6400)
1 degree equals 17.777777777777775 mil in this tool (via radian):
1 deg = (0.017453292519943295 rad ÷ 0.0009817477042468104 rad) mil = 17.777777777777775 mil
Each degree carries 0.017453292519943295 rad and each mil 0.0009817477042468104 rad, so one deg equals 0.017453292519943295 ÷ 0.0009817477042468104 mil.
Let θ(deg) be the angle in Degree (deg), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(deg) × (0.017453292519943295 / 0.0009817477042468104)
Equivalently, divide by how many deg fit into one mil (rad per mil divided by rad per deg):
θ(mil) = θ(deg) ÷ 0.05625
Examples
Example #1: Convert 1 deg to mil
1 deg = 1 deg × (0.017453292519943295/0.0009817477042468104) mil = 17.7777777778 mil
1 deg = 1 deg ÷ 0.05625 = 17.7777777778 mil
1 deg × (0.017453292519943295/0.0009817477042468104) = 17.777778 mil
Example #2: Convert 10 deg to mil
10 deg = 10 deg × (0.017453292519943295/0.0009817477042468104) mil = 177.777777778 mil
10 deg = 10 deg ÷ 0.05625 = 177.777777778 mil
10 deg × (0.017453292519943295/0.0009817477042468104) = 177.777778 mil
Summary
To convert Degree to Mil, multiply the value in deg by (0.017453292519943295 rad per deg) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_deg × (0.017453292519943295 / 0.0009817477042468104). Numerically, 1 deg equals 17.777777777777775 mil.
Relationship context
Both Degree and Mil are converted by fixed multiples of the radian. Multiplying by (rad per deg) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Degree (deg) | Mil (mil) |
|---|---|
| 0.1 | 1.7777777778 |
| 1 | 17.7777777778 |
| 2 | 35.5555555556 |
| 3 | 53.3333333333 |
| 4 | 71.1111111111 |
| 5 | 88.8888888889 |
| 6 | 106.666666667 |
| 7 | 124.444444444 |
| 8 | 142.222222222 |
| 9 | 160 |
| Degree (deg) | Mil (mil) |
|---|---|
| 10 | 177.777777778 |
| 20 | 355.555555556 |
| 30 | 533.333333333 |
| 40 | 711.111111111 |
| 50 | 888.888888889 |
| 60 | 1,066.66666667 |
| 70 | 1,244.44444444 |
| 80 | 1,422.22222222 |
| 90 | 1,600 |
| 100 | 1,777.77777778 |