Mil to Radian Converter
Angle · unit-converter
Convert Mil to Radian 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 Radian
The radian is the SI unit of plane angle. One radian is the angle subtended by an arc equal to the radius; 2π rad = one full circle.
How to convert mils (nato, 6400) to radians
1 mil equals 0.0009817477042468104 radian in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 1 rad) rad = 0.0009817477042468104 rad
Each mil carries 0.0009817477042468104 rad and each radian 1 rad, so one mil equals 0.0009817477042468104 ÷ 1 rad.
Let θ(mil) be the angle in Mil (mil), and θ(rad) in Radian (rad). Then:
θ(rad) = θ(mil) × (0.0009817477042468104 / 1)
Equivalently, divide by how many mil fit into one rad (rad per rad divided by rad per mil):
θ(rad) = θ(mil) ÷ 1018.5916357881301
Examples
Example #1: Convert 1 mil to radian
1 mil = 1 mil × (0.0009817477042468104/1) rad = 0.0009817477 rad
1 mil = 1 mil ÷ 1018.5916357881301 = 0.0009817477 rad
1 mil × (0.0009817477042468104/1) = 0.000982 rad
Example #2: Convert 10 mil to radian
10 mil = 10 mil × (0.0009817477042468104/1) rad = 0.009817477 rad
10 mil = 10 mil ÷ 1018.5916357881301 = 0.009817477 rad
10 mil × (0.0009817477042468104/1) = 0.009817 rad
Summary
To convert Mil to Radian, multiply the value in mil by (0.0009817477042468104 rad per mil) / (1 rad per rad). Equivalently: value_rad = value_mil × (0.0009817477042468104 / 1). Numerically, 1 mil equals 0.0009817477042468104 rad.
Relationship context
Both Mil and Radian are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per rad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Radian (rad) |
|---|---|
| 0.1 | 0.0000981748 |
| 1 | 0.0009817477 |
| 2 | 0.0019634954 |
| 3 | 0.0029452431 |
| 4 | 0.0039269908 |
| 5 | 0.0049087385 |
| 6 | 0.0058904862 |
| 7 | 0.0068722339 |
| 8 | 0.0078539816 |
| 9 | 0.0088357293 |
| Mil (mil) | Radian (rad) |
|---|---|
| 10 | 0.009817477 |
| 20 | 0.0196349541 |
| 30 | 0.0294524311 |
| 40 | 0.0392699082 |
| 50 | 0.0490873852 |
| 60 | 0.0589048623 |
| 70 | 0.0687223393 |
| 80 | 0.0785398163 |
| 90 | 0.0883572934 |
| 100 | 0.0981747704 |