Milliradian to Quadrant Converter
Angle · unit-converter
Convert Milliradian 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 Milliradian
A milliradian is 1/1000 radian. Used in ballistics, long-range shooting, and engineering for small angles.
About Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
How to convert milliradians to quadrants
1 milliradian equals 0.0006366197723675814 quadrant in this tool (via radian):
1 mrad = (0.001 rad ÷ 1.5707963267948966 rad) quadrant = 0.0006366197723675814 quadrant
Each milliradian carries 0.001 rad and each quadrant 1.5707963267948966 rad, so one mrad equals 0.001 ÷ 1.5707963267948966 quadrant.
Let θ(mrad) be the angle in Milliradian (mrad), and θ(quadrant) in Quadrant (quadrant). Then:
θ(quadrant) = θ(mrad) × (0.001 / 1.5707963267948966)
Equivalently, divide by how many mrad fit into one quadrant (rad per quadrant divided by rad per mrad):
θ(quadrant) = θ(mrad) ÷ 1570.7963267948965
Examples
Example #1: Convert 1 mrad to quadrant
1 mrad = 1 mrad × (0.001/1.5707963267948966) quadrant = 0.0006366198 quadrant
1 mrad = 1 mrad ÷ 1570.7963267948965 = 0.0006366198 quadrant
1 mrad × (0.001/1.5707963267948966) = 0.000637 quadrant
Example #2: Convert 10 mrad to quadrant
10 mrad = 10 mrad × (0.001/1.5707963267948966) quadrant = 0.0063661977 quadrant
10 mrad = 10 mrad ÷ 1570.7963267948965 = 0.0063661977 quadrant
10 mrad × (0.001/1.5707963267948966) = 0.006366 quadrant
Summary
To convert Milliradian to Quadrant, multiply the value in mrad by (0.001 rad per mrad) / (1.5707963267948966 rad per quadrant). Equivalently: value_quadrant = value_mrad × (0.001 / 1.5707963267948966). Numerically, 1 mrad equals 0.0006366197723675814 quadrant.
Relationship context
Both Milliradian and Quadrant are converted by fixed multiples of the radian. Multiplying by (rad per mrad) ÷ (rad per quadrant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Milliradian (mrad) | Quadrant (quadrant) |
|---|---|
| 0.1 | 0.000063662 |
| 1 | 0.0006366198 |
| 2 | 0.0012732395 |
| 3 | 0.0019098593 |
| 4 | 0.0025464791 |
| 5 | 0.0031830989 |
| 6 | 0.0038197186 |
| 7 | 0.0044563384 |
| 8 | 0.0050929582 |
| 9 | 0.005729578 |
| Milliradian (mrad) | Quadrant (quadrant) |
|---|---|
| 10 | 0.0063661977 |
| 20 | 0.0127323954 |
| 30 | 0.0190985932 |
| 40 | 0.0254647909 |
| 50 | 0.0318309886 |
| 60 | 0.0381971863 |
| 70 | 0.0445633841 |
| 80 | 0.0509295818 |
| 90 | 0.0572957795 |
| 100 | 0.0636619772 |