Arc Second to Sextant Converter
Angle · unit-converter
Convert Arc Second 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 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.
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 arc seconds to sextants
1 arc second equals 0.00000462962962962963 sextant in this tool (via radian):
1 arcsec = (0.00000484813681109536 rad ÷ 1.0471975511965976 rad) sextant = 0.00000462962962962963 sextant
Each arc second carries 0.00000484813681109536 rad and each sextant 1.0471975511965976 rad, so one arcsec equals 0.00000484813681109536 ÷ 1.0471975511965976 sextant.
Let θ(arcsec) be the angle in Arc Second (arcsec), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(arcsec) × (0.00000484813681109536 / 1.0471975511965976)
Equivalently, divide by how many arcsec fit into one sextant (rad per sextant divided by rad per arcsec):
θ(sextant) = θ(arcsec) ÷ 215999.99999999997
Examples
Example #1: Convert 1 arcsec to sextant
1 arcsec = 1 arcsec × (0.00000484813681109536/1.0471975511965976) sextant = 0.0000046296 sextant
1 arcsec = 1 arcsec ÷ 215999.99999999997 = 0.0000046296 sextant
1 arcsec × (0.00000484813681109536/1.0471975511965976) = 0.000005 sextant
Example #2: Convert 10 arcsec to sextant
10 arcsec = 10 arcsec × (0.00000484813681109536/1.0471975511965976) sextant = 0.0000462963 sextant
10 arcsec = 10 arcsec ÷ 215999.99999999997 = 0.0000462963 sextant
10 arcsec × (0.00000484813681109536/1.0471975511965976) = 0.000046 sextant
Summary
To convert Arc Second to Sextant, multiply the value in arcsec by (0.00000484813681109536 rad per arcsec) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_arcsec × (0.00000484813681109536 / 1.0471975511965976). Numerically, 1 arcsec equals 0.00000462962962962963 sextant.
Relationship context
Both Arc Second and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per arcsec) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Second (arcsec) | Sextant (sextant) |
|---|---|
| 0.1 | 0.000000463 |
| 1 | 0.0000046296 |
| 2 | 0.0000092593 |
| 3 | 0.0000138889 |
| 4 | 0.0000185185 |
| 5 | 0.0000231481 |
| 6 | 0.0000277778 |
| 7 | 0.0000324074 |
| 8 | 0.000037037 |
| 9 | 0.0000416667 |
| Arc Second (arcsec) | Sextant (sextant) |
|---|---|
| 10 | 0.0000462963 |
| 20 | 0.0000925926 |
| 30 | 0.0001388889 |
| 40 | 0.0001851852 |
| 50 | 0.0002314815 |
| 60 | 0.0002777778 |
| 70 | 0.0003240741 |
| 80 | 0.0003703704 |
| 90 | 0.0004166667 |
| 100 | 0.000462963 |