Quadrant to Mil Converter
Angle · unit-converter
Convert Quadrant 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 Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
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 quadrants to mils (nato, 6400)
1 quadrant equals 1599.9999999999998 mil in this tool (via radian):
1 quadrant = (1.5707963267948966 rad ÷ 0.0009817477042468104 rad) mil = 1599.9999999999998 mil
Each quadrant carries 1.5707963267948966 rad and each mil 0.0009817477042468104 rad, so one quadrant equals 1.5707963267948966 ÷ 0.0009817477042468104 mil.
Let θ(quadrant) be the angle in Quadrant (quadrant), and θ(mil) in Mil (mil). Then:
θ(mil) = θ(quadrant) × (1.5707963267948966 / 0.0009817477042468104)
Equivalently, divide by how many quadrant fit into one mil (rad per mil divided by rad per quadrant):
θ(mil) = θ(quadrant) ÷ 0.000625
Examples
Example #1: Convert 1 quadrant to mil
1 quadrant = 1 quadrant × (1.5707963267948966/0.0009817477042468104) mil = 1600 mil
1 quadrant = 1 quadrant ÷ 0.000625 = 1600 mil
1 quadrant × (1.5707963267948966/0.0009817477042468104) = 1,600.000000 mil
Example #2: Convert 10 quadrant to mil
10 quadrant = 10 quadrant × (1.5707963267948966/0.0009817477042468104) mil = 16000 mil
10 quadrant = 10 quadrant ÷ 0.000625 = 16000 mil
10 quadrant × (1.5707963267948966/0.0009817477042468104) = 16,000.000000 mil
Summary
To convert Quadrant to Mil, multiply the value in quadrant by (1.5707963267948966 rad per quadrant) / (0.0009817477042468104 rad per mil). Equivalently: value_mil = value_quadrant × (1.5707963267948966 / 0.0009817477042468104). Numerically, 1 quadrant equals 1599.9999999999998 mil.
Relationship context
Both Quadrant and Mil are converted by fixed multiples of the radian. Multiplying by (rad per quadrant) ÷ (rad per mil) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Quadrant (quadrant) | Mil (mil) |
|---|---|
| 0.1 | 160 |
| 1 | 1,600 |
| 2 | 3,200 |
| 3 | 4,800 |
| 4 | 6,400 |
| 5 | 8,000 |
| 6 | 9,600 |
| 7 | 11,200 |
| 8 | 12,800 |
| 9 | 14,400 |
| Quadrant (quadrant) | Mil (mil) |
|---|---|
| 10 | 16,000 |
| 20 | 32,000 |
| 30 | 48,000 |
| 40 | 64,000 |
| 50 | 80,000 |
| 60 | 96,000 |
| 70 | 112,000 |
| 80 | 128,000 |
| 90 | 144,000 |
| 100 | 160,000 |