Sextant to Gradian Converter
Angle · unit-converter
Convert Sextant to Gradian 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 Gradian
Gradians (gon) divide a right angle into 100 parts; 400 gradians make a full turn. Used in some surveying and European contexts.
How to convert sextants to gradians
1 sextant equals 66.66666666666666 gradian in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 0.015707963267948967 rad) grad = 66.66666666666666 grad
Each sextant carries 1.0471975511965976 rad and each gradian 0.015707963267948967 rad, so one sextant equals 1.0471975511965976 ÷ 0.015707963267948967 grad.
Let θ(sextant) be the angle in Sextant (sextant), and θ(grad) in Gradian (grad). Then:
θ(grad) = θ(sextant) × (1.0471975511965976 / 0.015707963267948967)
Equivalently, divide by how many sextant fit into one grad (rad per grad divided by rad per sextant):
θ(grad) = θ(sextant) ÷ 0.015000000000000003
Examples
Example #1: Convert 1 sextant to gradian
1 sextant = 1 sextant × (1.0471975511965976/0.015707963267948967) grad = 66.6666666667 grad
1 sextant = 1 sextant ÷ 0.015000000000000003 = 66.6666666667 grad
1 sextant × (1.0471975511965976/0.015707963267948967) = 66.666667 grad
Example #2: Convert 10 sextant to gradian
10 sextant = 10 sextant × (1.0471975511965976/0.015707963267948967) grad = 666.666666667 grad
10 sextant = 10 sextant ÷ 0.015000000000000003 = 666.666666667 grad
10 sextant × (1.0471975511965976/0.015707963267948967) = 666.666667 grad
Summary
To convert Sextant to Gradian, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (0.015707963267948967 rad per grad). Equivalently: value_grad = value_sextant × (1.0471975511965976 / 0.015707963267948967). Numerically, 1 sextant equals 66.66666666666666 grad.
Relationship context
Both Sextant and Gradian are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per grad) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Gradian (grad) |
|---|---|
| 0.1 | 6.6666666667 |
| 1 | 66.6666666667 |
| 2 | 133.333333333 |
| 3 | 200 |
| 4 | 266.666666667 |
| 5 | 333.333333333 |
| 6 | 400 |
| 7 | 466.666666667 |
| 8 | 533.333333333 |
| 9 | 600 |
| Sextant (sextant) | Gradian (grad) |
|---|---|
| 10 | 666.666666667 |
| 20 | 1,333.33333333 |
| 30 | 2,000 |
| 40 | 2,666.66666667 |
| 50 | 3,333.33333333 |
| 60 | 4,000 |
| 70 | 4,666.66666667 |
| 80 | 5,333.33333333 |
| 90 | 6,000 |
| 100 | 6,666.66666667 |