Sextant to Microradian Converter
Angle · unit-converter
Convert Sextant to Microradian 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 Sextant
A sextant is one sixth of a full turn: 60° or π/3 radians. It appears in geometry and some traditional angular partitioning.
About Microradian
A microradian is 1/1,000,000 radian. It is used for very small angular deviations in optics and precision metrology.
How to convert sextants to microradians
1 sextant equals 1047197.5511965976 microradian in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 0.000001 rad) urad = 1047197.5511965976 urad
Each sextant carries 1.0471975511965976 rad and each microradian 0.000001 rad, so one sextant equals 1.0471975511965976 ÷ 0.000001 urad.
Let θ(sextant) be the angle in Sextant (sextant), and θ(urad) in Microradian (urad). Then:
θ(urad) = θ(sextant) × (1.0471975511965976 / 0.000001)
Equivalently, divide by how many sextant fit into one urad (rad per urad divided by rad per sextant):
θ(urad) = θ(sextant) ÷ 9.54929658551372e-7
Examples
Example #1: Convert 1 sextant to microradian
1 sextant = 1 sextant × (1.0471975511965976/0.000001) urad = 1047197.5512 urad
1 sextant = 1 sextant ÷ 9.54929658551372e-7 = 1047197.5512 urad
1 sextant × (1.0471975511965976/0.000001) = 1,047,197.551197 urad
Example #2: Convert 10 sextant to microradian
10 sextant = 10 sextant × (1.0471975511965976/0.000001) urad = 10471975.5120000001 urad
10 sextant = 10 sextant ÷ 9.54929658551372e-7 = 10471975.5120000001 urad
10 sextant × (1.0471975511965976/0.000001) = 10,471,975.511966 urad
Summary
To convert Sextant to Microradian, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (0.000001 rad per urad). Equivalently: value_urad = value_sextant × (1.0471975511965976 / 0.000001). Numerically, 1 sextant equals 1047197.5511965976 urad.
Relationship context
Both Sextant and Microradian are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per urad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Microradian (urad) |
|---|---|
| 0.1 | 104,719.75512 |
| 1 | 1,047,197.5512 |
| 2 | 2,094,395.1023899999 |
| 3 | 3,141,592.6535899998 |
| 4 | 4,188,790.2047899999 |
| 5 | 5,235,987.7559799999 |
| 6 | 6,283,185.3071799995 |
| 7 | 7,330,382.8583800001 |
| 8 | 8,377,580.4095700001 |
| 9 | 9,424,777.9607699998 |
| Sextant (sextant) | Microradian (urad) |
|---|---|
| 10 | 10,471,975.5120000001 |
| 20 | 20,943,951.0238999985 |
| 30 | 31,415,926.5359000005 |
| 40 | 41,887,902.0478999987 |
| 50 | 52,359,877.559799999 |
| 60 | 62,831,853.071800001 |
| 70 | 73,303,828.5838000029 |
| 80 | 83,775,804.0956999958 |
| 90 | 94,247,779.6077000052 |
| 100 | 104,719,755.1200000048 |