Radian to Sextant Converter
Angle · unit-converter
Convert Radian 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 Radian
The radian is the SI unit of plane angle. One radian is the angle subtended by an arc equal to the radius; 2π rad = one full circle.
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 radians to sextants
1 radian equals 0.9549296585513721 sextant in this tool (via radian):
1 rad = (1 rad ÷ 1.0471975511965976 rad) sextant = 0.9549296585513721 sextant
Each radian carries 1 rad and each sextant 1.0471975511965976 rad, so one rad equals 1 ÷ 1.0471975511965976 sextant.
Let θ(rad) be the angle in Radian (rad), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(rad) × (1 / 1.0471975511965976)
Equivalently, divide by how many rad fit into one sextant (rad per sextant divided by rad per rad):
θ(sextant) = θ(rad) ÷ 1.0471975511965976
Examples
Example #1: Convert 1 rad to sextant
1 rad = 1 rad × (1/1.0471975511965976) sextant = 0.9549296586 sextant
1 rad = 1 rad ÷ 1.0471975511965976 = 0.9549296586 sextant
1 rad × (1/1.0471975511965976) = 0.954930 sextant
Example #2: Convert 10 rad to sextant
10 rad = 10 rad × (1/1.0471975511965976) sextant = 9.5492965855 sextant
10 rad = 10 rad ÷ 1.0471975511965976 = 9.5492965855 sextant
10 rad × (1/1.0471975511965976) = 9.549297 sextant
Summary
To convert Radian to Sextant, multiply the value in rad by (1 rad per rad) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_rad × (1 / 1.0471975511965976). Numerically, 1 rad equals 0.9549296585513721 sextant.
Relationship context
Both Radian and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per rad) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Radian (rad) | Sextant (sextant) |
|---|---|
| 0.1 | 0.0954929659 |
| 1 | 0.9549296586 |
| 2 | 1.9098593171 |
| 3 | 2.8647889756 |
| 4 | 3.8197186342 |
| 5 | 4.7746482928 |
| 6 | 5.7295779513 |
| 7 | 6.6845076099 |
| 8 | 7.6394372684 |
| 9 | 8.594366927 |
| Radian (rad) | Sextant (sextant) |
|---|---|
| 10 | 9.5492965855 |
| 20 | 19.098593171 |
| 30 | 28.6478897565 |
| 40 | 38.1971863421 |
| 50 | 47.7464829276 |
| 60 | 57.2957795131 |
| 70 | 66.8450760986 |
| 80 | 76.3943726841 |
| 90 | 85.9436692696 |
| 100 | 95.4929658551 |