Sextant to Radian Converter
Angle · unit-converter
Convert Sextant to Radian 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 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.
How to convert sextants to radians
1 sextant equals 1.0471975511965976 radian in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 1 rad) rad = 1.0471975511965976 rad
Each sextant carries 1.0471975511965976 rad and each radian 1 rad, so one sextant equals 1.0471975511965976 ÷ 1 rad.
Let θ(sextant) be the angle in Sextant (sextant), and θ(rad) in Radian (rad). Then:
θ(rad) = θ(sextant) × (1.0471975511965976 / 1)
Equivalently, divide by how many sextant fit into one rad (rad per rad divided by rad per sextant):
θ(rad) = θ(sextant) ÷ 0.9549296585513721
Examples
Example #1: Convert 1 sextant to radian
1 sextant = 1 sextant × (1.0471975511965976/1) rad = 1.0471975512 rad
1 sextant = 1 sextant ÷ 0.9549296585513721 = 1.0471975512 rad
1 sextant × (1.0471975511965976/1) = 1.047198 rad
Example #2: Convert 10 sextant to radian
10 sextant = 10 sextant × (1.0471975511965976/1) rad = 10.471975512 rad
10 sextant = 10 sextant ÷ 0.9549296585513721 = 10.471975512 rad
10 sextant × (1.0471975511965976/1) = 10.471976 rad
Summary
To convert Sextant to Radian, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (1 rad per rad). Equivalently: value_rad = value_sextant × (1.0471975511965976 / 1). Numerically, 1 sextant equals 1.0471975511965976 rad.
Relationship context
Both Sextant and Radian are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per rad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Radian (rad) |
|---|---|
| 0.1 | 0.1047197551 |
| 1 | 1.0471975512 |
| 2 | 2.0943951024 |
| 3 | 3.1415926536 |
| 4 | 4.1887902048 |
| 5 | 5.235987756 |
| 6 | 6.2831853072 |
| 7 | 7.3303828584 |
| 8 | 8.3775804096 |
| 9 | 9.4247779608 |
| Sextant (sextant) | Radian (rad) |
|---|---|
| 10 | 10.471975512 |
| 20 | 20.9439510239 |
| 30 | 31.4159265359 |
| 40 | 41.8879020479 |
| 50 | 52.3598775598 |
| 60 | 62.8318530718 |
| 70 | 73.3038285838 |
| 80 | 83.7758040957 |
| 90 | 94.2477796077 |
| 100 | 104.71975512 |