Sextant to Arc Second Converter
Angle · unit-converter
Convert Sextant to Arc Second 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 Second
An arc second is 1/60 of an arc minute or 1/3600 of a degree. Common in astronomy and very fine angular resolution.
How to convert sextants to arc seconds
1 sextant equals 215999.99999999997 arc second in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 0.00000484813681109536 rad) arcsec = 215999.99999999997 arcsec
Each sextant carries 1.0471975511965976 rad and each arc second 0.00000484813681109536 rad, so one sextant equals 1.0471975511965976 ÷ 0.00000484813681109536 arcsec.
Let θ(sextant) be the angle in Sextant (sextant), and θ(arcsec) in Arc Second (arcsec). Then:
θ(arcsec) = θ(sextant) × (1.0471975511965976 / 0.00000484813681109536)
Equivalently, divide by how many sextant fit into one arcsec (rad per arcsec divided by rad per sextant):
θ(arcsec) = θ(sextant) ÷ 0.00000462962962962963
Examples
Example #1: Convert 1 sextant to arc second
1 sextant = 1 sextant × (1.0471975511965976/0.00000484813681109536) arcsec = 216000 arcsec
1 sextant = 1 sextant ÷ 0.00000462962962962963 = 216000 arcsec
1 sextant × (1.0471975511965976/0.00000484813681109536) = 216,000.000000 arcsec
Example #2: Convert 10 sextant to arc second
10 sextant = 10 sextant × (1.0471975511965976/0.00000484813681109536) arcsec = 2160000 arcsec
10 sextant = 10 sextant ÷ 0.00000462962962962963 = 2160000 arcsec
10 sextant × (1.0471975511965976/0.00000484813681109536) = 2,160,000.000000 arcsec
Summary
To convert Sextant to Arc Second, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (0.00000484813681109536 rad per arcsec). Equivalently: value_arcsec = value_sextant × (1.0471975511965976 / 0.00000484813681109536). Numerically, 1 sextant equals 215999.99999999997 arcsec.
Relationship context
Both Sextant and Arc Second are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per arcsec) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Arc Second (arcsec) |
|---|---|
| 0.1 | 21,600 |
| 1 | 216,000 |
| 2 | 432,000 |
| 3 | 648,000 |
| 4 | 864,000 |
| 5 | 1,080,000 |
| 6 | 1,296,000 |
| 7 | 1,512,000 |
| 8 | 1,728,000 |
| 9 | 1,944,000 |
| Sextant (sextant) | Arc Second (arcsec) |
|---|---|
| 10 | 2,160,000 |
| 20 | 4,320,000 |
| 30 | 6,480,000 |
| 40 | 8,640,000 |
| 50 | 10,800,000 |
| 60 | 12,960,000 |
| 70 | 15,120,000 |
| 80 | 17,280,000 |
| 90 | 19,440,000 |
| 100 | 21,600,000 |