Mil to Microradian Converter
Angle · unit-converter
Convert Mil to Microradian 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 Microradian
A microradian is 1/1,000,000 radian. It is used for very small angular deviations in optics and precision metrology.
How to convert mils (nato, 6400) to microradians
1 mil equals 981.7477042468105 microradian in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 0.000001 rad) urad = 981.7477042468105 urad
Each mil carries 0.0009817477042468104 rad and each microradian 0.000001 rad, so one mil equals 0.0009817477042468104 ÷ 0.000001 urad.
Let θ(mil) be the angle in Mil (mil), and θ(urad) in Microradian (urad). Then:
θ(urad) = θ(mil) × (0.0009817477042468104 / 0.000001)
Equivalently, divide by how many mil fit into one urad (rad per urad divided by rad per mil):
θ(urad) = θ(mil) ÷ 0.0010185916357881302
Examples
Example #1: Convert 1 mil to microradian
1 mil = 1 mil × (0.0009817477042468104/0.000001) urad = 981.747704247 urad
1 mil = 1 mil ÷ 0.0010185916357881302 = 981.747704247 urad
1 mil × (0.0009817477042468104/0.000001) = 981.747704 urad
Example #2: Convert 10 mil to microradian
10 mil = 10 mil × (0.0009817477042468104/0.000001) urad = 9817.47704247 urad
10 mil = 10 mil ÷ 0.0010185916357881302 = 9817.47704247 urad
10 mil × (0.0009817477042468104/0.000001) = 9,817.477042 urad
Summary
To convert Mil to Microradian, multiply the value in mil by (0.0009817477042468104 rad per mil) / (0.000001 rad per urad). Equivalently: value_urad = value_mil × (0.0009817477042468104 / 0.000001). Numerically, 1 mil equals 981.7477042468105 urad.
Relationship context
Both Mil and Microradian are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per urad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Microradian (urad) |
|---|---|
| 0.1 | 98.1747704247 |
| 1 | 981.747704247 |
| 2 | 1,963.49540849 |
| 3 | 2,945.24311274 |
| 4 | 3,926.99081699 |
| 5 | 4,908.73852123 |
| 6 | 5,890.48622548 |
| 7 | 6,872.23392973 |
| 8 | 7,853.98163397 |
| 9 | 8,835.72933822 |
| Mil (mil) | Microradian (urad) |
|---|---|
| 10 | 9,817.47704247 |
| 20 | 19,634.9540849 |
| 30 | 29,452.4311274 |
| 40 | 39,269.9081699 |
| 50 | 49,087.3852123 |
| 60 | 58,904.8622548 |
| 70 | 68,722.3392973 |
| 80 | 78,539.8163397 |
| 90 | 88,357.2933822 |
| 100 | 98,174.7704247 |