Microradian to Quadrant Converter
Angle · unit-converter
Convert Microradian 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 Microradian
A microradian is 1/1,000,000 radian. It is used for very small angular deviations in optics and precision metrology.
About Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
How to convert microradians to quadrants
1 microradian equals 6.366197723675813e-7 quadrant in this tool (via radian):
1 urad = (0.000001 rad ÷ 1.5707963267948966 rad) quadrant = 6.366197723675813e-7 quadrant
Each microradian carries 0.000001 rad and each quadrant 1.5707963267948966 rad, so one urad equals 0.000001 ÷ 1.5707963267948966 quadrant.
Let θ(urad) be the angle in Microradian (urad), and θ(quadrant) in Quadrant (quadrant). Then:
θ(quadrant) = θ(urad) × (0.000001 / 1.5707963267948966)
Equivalently, divide by how many urad fit into one quadrant (rad per quadrant divided by rad per urad):
θ(quadrant) = θ(urad) ÷ 1570796.3267948967
Examples
Example #1: Convert 1 urad to quadrant
1 urad = 1 urad × (0.000001/1.5707963267948966) quadrant = 0.0000006366 quadrant
1 urad = 1 urad ÷ 1570796.3267948967 = 0.0000006366 quadrant
1 urad × (0.000001/1.5707963267948966) = 0.000001 quadrant
Example #2: Convert 10 urad to quadrant
10 urad = 10 urad × (0.000001/1.5707963267948966) quadrant = 0.0000063662 quadrant
10 urad = 10 urad ÷ 1570796.3267948967 = 0.0000063662 quadrant
10 urad × (0.000001/1.5707963267948966) = 0.000006 quadrant
Summary
To convert Microradian to Quadrant, multiply the value in urad by (0.000001 rad per urad) / (1.5707963267948966 rad per quadrant). Equivalently: value_quadrant = value_urad × (0.000001 / 1.5707963267948966). Numerically, 1 urad equals 6.366197723675813e-7 quadrant.
Relationship context
Both Microradian and Quadrant are converted by fixed multiples of the radian. Multiplying by (rad per urad) ÷ (rad per quadrant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Microradian (urad) | Quadrant (quadrant) |
|---|---|
| 0.1 | 0.0000000637 |
| 1 | 0.0000006366 |
| 2 | 0.0000012732 |
| 3 | 0.0000019099 |
| 4 | 0.0000025465 |
| 5 | 0.0000031831 |
| 6 | 0.0000038197 |
| 7 | 0.0000044563 |
| 8 | 0.000005093 |
| 9 | 0.0000057296 |
| Microradian (urad) | Quadrant (quadrant) |
|---|---|
| 10 | 0.0000063662 |
| 20 | 0.0000127324 |
| 30 | 0.0000190986 |
| 40 | 0.0000254648 |
| 50 | 0.000031831 |
| 60 | 0.0000381972 |
| 70 | 0.0000445634 |
| 80 | 0.0000509296 |
| 90 | 0.0000572958 |
| 100 | 0.000063662 |