Microradian to Sextant Converter
Angle · unit-converter
Convert Microradian to Sextant 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 Sextant
A sextant is one sixth of a full turn: 60° or π/3 radians. It appears in geometry and some traditional angular partitioning.
How to convert microradians to sextants
1 microradian equals 9.54929658551372e-7 sextant in this tool (via radian):
1 urad = (0.000001 rad ÷ 1.0471975511965976 rad) sextant = 9.54929658551372e-7 sextant
Each microradian carries 0.000001 rad and each sextant 1.0471975511965976 rad, so one urad equals 0.000001 ÷ 1.0471975511965976 sextant.
Let θ(urad) be the angle in Microradian (urad), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(urad) × (0.000001 / 1.0471975511965976)
Equivalently, divide by how many urad fit into one sextant (rad per sextant divided by rad per urad):
θ(sextant) = θ(urad) ÷ 1047197.5511965976
Examples
Example #1: Convert 1 urad to sextant
1 urad = 1 urad × (0.000001/1.0471975511965976) sextant = 0.0000009549 sextant
1 urad = 1 urad ÷ 1047197.5511965976 = 0.0000009549 sextant
1 urad × (0.000001/1.0471975511965976) = 0.000001 sextant
Example #2: Convert 10 urad to sextant
10 urad = 10 urad × (0.000001/1.0471975511965976) sextant = 0.0000095493 sextant
10 urad = 10 urad ÷ 1047197.5511965976 = 0.0000095493 sextant
10 urad × (0.000001/1.0471975511965976) = 0.000010 sextant
Summary
To convert Microradian to Sextant, multiply the value in urad by (0.000001 rad per urad) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_urad × (0.000001 / 1.0471975511965976). Numerically, 1 urad equals 9.54929658551372e-7 sextant.
Relationship context
Both Microradian and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per urad) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Microradian (urad) | Sextant (sextant) |
|---|---|
| 0.1 | 0.0000000955 |
| 1 | 0.0000009549 |
| 2 | 0.0000019099 |
| 3 | 0.0000028648 |
| 4 | 0.0000038197 |
| 5 | 0.0000047746 |
| 6 | 0.0000057296 |
| 7 | 0.0000066845 |
| 8 | 0.0000076394 |
| 9 | 0.0000085944 |
| Microradian (urad) | Sextant (sextant) |
|---|---|
| 10 | 0.0000095493 |
| 20 | 0.0000190986 |
| 30 | 0.0000286479 |
| 40 | 0.0000381972 |
| 50 | 0.0000477465 |
| 60 | 0.0000572958 |
| 70 | 0.0000668451 |
| 80 | 0.0000763944 |
| 90 | 0.0000859437 |
| 100 | 0.000095493 |