Gradian to Mil Converter
Angle · unit-converter
Convert Gradian 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 Gradian
Gradians (gon) divide a right angle into 100 parts; 400 gradians make a full turn. Used in some surveying and European contexts.
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 gradians to mils (nato, 6400)
1 gradian equals 16 mil in this tool (via radian):
1 grad = (0.015707963267948967 rad ÷ 0.0009817477042468104 rad) mil = 16 mil
Each gradian carries 0.015707963267948967 rad and each mil 0.0009817477042468104 rad, so one grad equals 0.015707963267948967 ÷ 0.0009817477042468104 mil.
Let θ(grad) be the angle in Gradian (grad), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(grad) × (0.015707963267948967 / 0.0009817477042468104)
Equivalently, divide by how many grad fit into one mil (rad per mil divided by rad per grad):
θ(mil) = θ(grad) ÷ 0.0625
Examples
Example #1: Convert 1 grad to mil
1 grad = 1 grad × (0.015707963267948967/0.0009817477042468104) mil = 16 mil
1 grad = 1 grad ÷ 0.0625 = 16 mil
1 grad × (0.015707963267948967/0.0009817477042468104) = 16.000000 mil
Example #2: Convert 10 grad to mil
10 grad = 10 grad × (0.015707963267948967/0.0009817477042468104) mil = 160 mil
10 grad = 10 grad ÷ 0.0625 = 160 mil
10 grad × (0.015707963267948967/0.0009817477042468104) = 160.000000 mil
Summary
To convert Gradian to Mil, multiply the value in grad by (0.015707963267948967 rad per grad) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_grad × (0.015707963267948967 / 0.0009817477042468104). Numerically, 1 grad equals 16 mil.
Relationship context
Both Gradian and Mil are converted by fixed multiples of the radian. Multiplying by (rad per grad) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Gradian (grad) | Mil (mil) |
|---|---|
| 0.1 | 1.6 |
| 1 | 16 |
| 2 | 32 |
| 3 | 48 |
| 4 | 64 |
| 5 | 80 |
| 6 | 96 |
| 7 | 112 |
| 8 | 128 |
| 9 | 144 |
| Gradian (grad) | Mil (mil) |
|---|---|
| 10 | 160 |
| 20 | 320 |
| 30 | 480 |
| 40 | 640 |
| 50 | 800 |
| 60 | 960 |
| 70 | 1,120 |
| 80 | 1,280 |
| 90 | 1,440 |
| 100 | 1,600 |