Mil to Gradian Converter
Angle · unit-converter
Convert Mil to Gradian 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 Gradian
Gradians (gon) divide a right angle into 100 parts; 400 gradians make a full turn. Used in some surveying and European contexts.
How to convert mils (nato, 6400) to gradians
1 mil equals 0.0625 gradian in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 0.015707963267948967 rad) grad = 0.0625 grad
Each mil carries 0.0009817477042468104 rad and each gradian 0.015707963267948967 rad, so one mil equals 0.0009817477042468104 ÷ 0.015707963267948967 grad.
Let θ(mil) be the angle in Mil (mil), and θ(grad) in Gradian (grad). Then:
θ(grad) = θ(mil) × (0.0009817477042468104 / 0.015707963267948967)
Equivalently, divide by how many mil fit into one grad (rad per grad divided by rad per mil):
θ(grad) = θ(mil) ÷ 16
Examples
Example #1: Convert 1 mil to gradian
1 mil = 1 mil × (0.0009817477042468104/0.015707963267948967) grad = 0.0625 grad
1 mil = 1 mil ÷ 16 = 0.0625 grad
1 mil × (0.0009817477042468104/0.015707963267948967) = 0.062500 grad
Example #2: Convert 10 mil to gradian
10 mil = 10 mil × (0.0009817477042468104/0.015707963267948967) grad = 0.625 grad
10 mil = 10 mil ÷ 16 = 0.625 grad
10 mil × (0.0009817477042468104/0.015707963267948967) = 0.625000 grad
Summary
To convert Mil to Gradian, multiply the value in mil by (0.0009817477042468104 rad per mil) / (0.015707963267948967 rad per grad). Equivalently: value_grad = value_mil × (0.0009817477042468104 / 0.015707963267948967). Numerically, 1 mil equals 0.0625 grad.
Relationship context
Both Mil and Gradian are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per grad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Gradian (grad) |
|---|---|
| 0.1 | 0.00625 |
| 1 | 0.0625 |
| 2 | 0.125 |
| 3 | 0.1875 |
| 4 | 0.25 |
| 5 | 0.3125 |
| 6 | 0.375 |
| 7 | 0.4375 |
| 8 | 0.5 |
| 9 | 0.5625 |
| Mil (mil) | Gradian (grad) |
|---|---|
| 10 | 0.625 |
| 20 | 1.25 |
| 30 | 1.875 |
| 40 | 2.5 |
| 50 | 3.125 |
| 60 | 3.75 |
| 70 | 4.375 |
| 80 | 5 |
| 90 | 5.625 |
| 100 | 6.25 |