Sextant to Arc Minute Converter
Angle · unit-converter
Convert Sextant to Arc Minute 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 Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
How to convert sextants to arc minutes
1 sextant equals 3600 arc minute in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 0.0002908882086657216 rad) arcmin = 3600 arcmin
Each sextant carries 1.0471975511965976 rad and each arc minute 0.0002908882086657216 rad, so one sextant equals 1.0471975511965976 ÷ 0.0002908882086657216 arcmin.
Let θ(sextant) be the angle in Sextant (sextant), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(sextant) × (1.0471975511965976 / 0.0002908882086657216)
Equivalently, divide by how many sextant fit into one arcmin (rad per arcmin divided by rad per sextant):
θ(arcmin) = θ(sextant) ÷ 0.0002777777777777778
Examples
Example #1: Convert 1 sextant to arc minute
1 sextant = 1 sextant × (1.0471975511965976/0.0002908882086657216) arcmin = 3600 arcmin
1 sextant = 1 sextant ÷ 0.0002777777777777778 = 3600 arcmin
1 sextant × (1.0471975511965976/0.0002908882086657216) = 3,600.000000 arcmin
Example #2: Convert 10 sextant to arc minute
10 sextant = 10 sextant × (1.0471975511965976/0.0002908882086657216) arcmin = 36000 arcmin
10 sextant = 10 sextant ÷ 0.0002777777777777778 = 36000 arcmin
10 sextant × (1.0471975511965976/0.0002908882086657216) = 36,000.000000 arcmin
Summary
To convert Sextant to Arc Minute, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_sextant × (1.0471975511965976 / 0.0002908882086657216). Numerically, 1 sextant equals 3600 arcmin.
Relationship context
Both Sextant and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 360 |
| 1 | 3,600 |
| 2 | 7,200 |
| 3 | 10,800 |
| 4 | 14,400 |
| 5 | 18,000 |
| 6 | 21,600 |
| 7 | 25,200 |
| 8 | 28,800 |
| 9 | 32,400 |
| Sextant (sextant) | Arc Minute (arcmin) |
|---|---|
| 10 | 36,000 |
| 20 | 72,000 |
| 30 | 108,000 |
| 40 | 144,000 |
| 50 | 180,000 |
| 60 | 216,000 |
| 70 | 252,000 |
| 80 | 288,000 |
| 90 | 324,000 |
| 100 | 360,000 |