Mil to Quadrant Converter
Angle · unit-converter
Convert Mil to Quadrant 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 Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
How to convert mils (nato, 6400) to quadrants
1 mil equals 0.000625 quadrant in this tool (via radian):
1 mil = (0.0009817477042468104 rad ÷ 1.5707963267948966 rad) quadrant = 0.000625 quadrant
Each mil carries 0.0009817477042468104 rad and each quadrant 1.5707963267948966 rad, so one mil equals 0.0009817477042468104 ÷ 1.5707963267948966 quadrant.
Let θ(mil) be the angle in Mil (mil), and θ(quadrant) in Quadrant (quadrant). Then:
θ(quadrant) = θ(mil) × (0.0009817477042468104 / 1.5707963267948966)
Equivalently, divide by how many mil fit into one quadrant (rad per quadrant divided by rad per mil):
θ(quadrant) = θ(mil) ÷ 1599.9999999999998
Examples
Example #1: Convert 1 mil to quadrant
1 mil = 1 mil × (0.0009817477042468104/1.5707963267948966) quadrant = 0.000625 quadrant
1 mil = 1 mil ÷ 1599.9999999999998 = 0.000625 quadrant
1 mil × (0.0009817477042468104/1.5707963267948966) = 0.000625 quadrant
Example #2: Convert 10 mil to quadrant
10 mil = 10 mil × (0.0009817477042468104/1.5707963267948966) quadrant = 0.00625 quadrant
10 mil = 10 mil ÷ 1599.9999999999998 = 0.00625 quadrant
10 mil × (0.0009817477042468104/1.5707963267948966) = 0.006250 quadrant
Summary
To convert Mil to Quadrant, multiply the value in mil by (0.0009817477042468104 rad per mil) / (1.5707963267948966 rad per quadrant). Equivalently: value_quadrant = value_mil × (0.0009817477042468104 / 1.5707963267948966). Numerically, 1 mil equals 0.000625 quadrant.
Relationship context
Both Mil and Quadrant are converted by fixed multiples of the radian. Multiplying by (rad per mil) ÷ (rad per quadrant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Mil (mil) | Quadrant (quadrant) |
|---|---|
| 0.1 | 0.0000625 |
| 1 | 0.000625 |
| 2 | 0.00125 |
| 3 | 0.001875 |
| 4 | 0.0025 |
| 5 | 0.003125 |
| 6 | 0.00375 |
| 7 | 0.004375 |
| 8 | 0.005 |
| 9 | 0.005625 |
| Mil (mil) | Quadrant (quadrant) |
|---|---|
| 10 | 0.00625 |
| 20 | 0.0125 |
| 30 | 0.01875 |
| 40 | 0.025 |
| 50 | 0.03125 |
| 60 | 0.0375 |
| 70 | 0.04375 |
| 80 | 0.05 |
| 90 | 0.05625 |
| 100 | 0.0625 |