Degree to Sextant Converter
Angle · unit-converter
Convert Degree 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
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 degrees to sextants
1 degree equals 0.01666666666666667 sextant in this tool (via radian):
1 deg = (0.017453292519943295 rad ÷ 1.0471975511965976 rad) sextant = 0.01666666666666667 sextant
Each degree carries 0.017453292519943295 rad and each sextant 1.0471975511965976 rad, so one deg equals 0.017453292519943295 ÷ 1.0471975511965976 sextant.
Let θ(deg) be the angle in Degree (deg), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(deg) × (0.017453292519943295 / 1.0471975511965976)
Equivalently, divide by how many deg fit into one sextant (rad per sextant divided by rad per deg):
θ(sextant) = θ(deg) ÷ 59.99999999999999
Examples
Example #1: Convert 1 deg to sextant
1 deg = 1 deg × (0.017453292519943295/1.0471975511965976) sextant = 0.0166666667 sextant
1 deg = 1 deg ÷ 59.99999999999999 = 0.0166666667 sextant
1 deg × (0.017453292519943295/1.0471975511965976) = 0.016667 sextant
Example #2: Convert 10 deg to sextant
10 deg = 10 deg × (0.017453292519943295/1.0471975511965976) sextant = 0.1666666667 sextant
10 deg = 10 deg ÷ 59.99999999999999 = 0.1666666667 sextant
10 deg × (0.017453292519943295/1.0471975511965976) = 0.166667 sextant
Summary
To convert Degree to Sextant, multiply the value in deg by (0.017453292519943295 rad per deg) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_deg × (0.017453292519943295 / 1.0471975511965976). Numerically, 1 deg equals 0.01666666666666667 sextant.
Relationship context
Both Degree and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per deg) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Degree (deg) | Sextant (sextant) |
|---|---|
| 0.1 | 0.0016666667 |
| 1 | 0.0166666667 |
| 2 | 0.0333333333 |
| 3 | 0.05 |
| 4 | 0.0666666667 |
| 5 | 0.0833333333 |
| 6 | 0.1 |
| 7 | 0.1166666667 |
| 8 | 0.1333333333 |
| 9 | 0.15 |
| Degree (deg) | Sextant (sextant) |
|---|---|
| 10 | 0.1666666667 |
| 20 | 0.3333333333 |
| 30 | 0.5 |
| 40 | 0.6666666667 |
| 50 | 0.8333333333 |
| 60 | 1 |
| 70 | 1.1666666667 |
| 80 | 1.3333333333 |
| 90 | 1.5 |
| 100 | 1.6666666667 |