Arc Minute to Sextant Converter
Angle · unit-converter
Convert Arc Minute 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 Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
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 minutes to sextants
1 arc minute equals 0.0002777777777777778 sextant in this tool (via radian):
1 arcmin = (0.0002908882086657216 rad ÷ 1.0471975511965976 rad) sextant = 0.0002777777777777778 sextant
Each arc minute carries 0.0002908882086657216 rad and each sextant 1.0471975511965976 rad, so one arcmin equals 0.0002908882086657216 ÷ 1.0471975511965976 sextant.
Let θ(arcmin) be the angle in Arc Minute (arcmin), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(arcmin) × (0.0002908882086657216 / 1.0471975511965976)
Equivalently, divide by how many arcmin fit into one sextant (rad per sextant divided by rad per arcmin):
θ(sextant) = θ(arcmin) ÷ 3600
Examples
Example #1: Convert 1 arcmin to sextant
1 arcmin = 1 arcmin × (0.0002908882086657216/1.0471975511965976) sextant = 0.0002777778 sextant
1 arcmin = 1 arcmin ÷ 3600 = 0.0002777778 sextant
1 arcmin × (0.0002908882086657216/1.0471975511965976) = 0.000278 sextant
Example #2: Convert 10 arcmin to sextant
10 arcmin = 10 arcmin × (0.0002908882086657216/1.0471975511965976) sextant = 0.0027777778 sextant
10 arcmin = 10 arcmin ÷ 3600 = 0.0027777778 sextant
10 arcmin × (0.0002908882086657216/1.0471975511965976) = 0.002778 sextant
Summary
To convert Arc Minute to Sextant, multiply the value in arcmin by (0.0002908882086657216 rad per arcmin) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_arcmin × (0.0002908882086657216 / 1.0471975511965976). Numerically, 1 arcmin equals 0.0002777777777777778 sextant.
Relationship context
Both Arc Minute and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per arcmin) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Minute (arcmin) | Sextant (sextant) |
|---|---|
| 0.1 | 0.0000277778 |
| 1 | 0.0002777778 |
| 2 | 0.0005555556 |
| 3 | 0.0008333333 |
| 4 | 0.0011111111 |
| 5 | 0.0013888889 |
| 6 | 0.0016666667 |
| 7 | 0.0019444444 |
| 8 | 0.0022222222 |
| 9 | 0.0025 |
| Arc Minute (arcmin) | Sextant (sextant) |
|---|---|
| 10 | 0.0027777778 |
| 20 | 0.0055555556 |
| 30 | 0.0083333333 |
| 40 | 0.0111111111 |
| 50 | 0.0138888889 |
| 60 | 0.0166666667 |
| 70 | 0.0194444444 |
| 80 | 0.0222222222 |
| 90 | 0.025 |
| 100 | 0.0277777778 |