Gradian to Sextant Converter
Angle · unit-converter
Convert Gradian 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 Gradian
Gradians (gon) divide a right angle into 100 parts; 400 gradians make a full turn. Used in some surveying and European contexts.
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 gradians to sextants
1 gradian equals 0.015000000000000003 sextant in this tool (via radian):
1 grad = (0.015707963267948967 rad ÷ 1.0471975511965976 rad) sextant = 0.015000000000000003 sextant
Each gradian carries 0.015707963267948967 rad and each sextant 1.0471975511965976 rad, so one grad equals 0.015707963267948967 ÷ 1.0471975511965976 sextant.
Let θ(grad) be the angle in Gradian (grad), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(grad) × (0.015707963267948967 / 1.0471975511965976)
Equivalently, divide by how many grad fit into one sextant (rad per sextant divided by rad per grad):
θ(sextant) = θ(grad) ÷ 66.66666666666666
Examples
Example #1: Convert 1 grad to sextant
1 grad = 1 grad × (0.015707963267948967/1.0471975511965976) sextant = 0.015 sextant
1 grad = 1 grad ÷ 66.66666666666666 = 0.015 sextant
1 grad × (0.015707963267948967/1.0471975511965976) = 0.015000 sextant
Example #2: Convert 10 grad to sextant
10 grad = 10 grad × (0.015707963267948967/1.0471975511965976) sextant = 0.15 sextant
10 grad = 10 grad ÷ 66.66666666666666 = 0.15 sextant
10 grad × (0.015707963267948967/1.0471975511965976) = 0.150000 sextant
Summary
To convert Gradian to Sextant, multiply the value in grad by (0.015707963267948967 rad per grad) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_grad × (0.015707963267948967 / 1.0471975511965976). Numerically, 1 grad equals 0.015000000000000003 sextant.
Relationship context
Both Gradian and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per grad) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Gradian (grad) | Sextant (sextant) |
|---|---|
| 0.1 | 0.0015 |
| 1 | 0.015 |
| 2 | 0.03 |
| 3 | 0.045 |
| 4 | 0.06 |
| 5 | 0.075 |
| 6 | 0.09 |
| 7 | 0.105 |
| 8 | 0.12 |
| 9 | 0.135 |
| Gradian (grad) | Sextant (sextant) |
|---|---|
| 10 | 0.15 |
| 20 | 0.3 |
| 30 | 0.45 |
| 40 | 0.6 |
| 50 | 0.75 |
| 60 | 0.9 |
| 70 | 1.05 |
| 80 | 1.2 |
| 90 | 1.35 |
| 100 | 1.5 |