Sextant to Quadrant Converter
Angle · unit-converter
Convert Sextant to Quadrant 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 Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
How to convert sextants to quadrants
1 sextant equals 0.6666666666666666 quadrant in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 1.5707963267948966 rad) quadrant = 0.6666666666666666 quadrant
Each sextant carries 1.0471975511965976 rad and each quadrant 1.5707963267948966 rad, so one sextant equals 1.0471975511965976 ÷ 1.5707963267948966 quadrant.
Let θ(sextant) be the angle in Sextant (sextant), and θ(quadrant) in Quadrant (quadrant). Then:
θ(quadrant) = θ(sextant) × (1.0471975511965976 / 1.5707963267948966)
Equivalently, divide by how many sextant fit into one quadrant (rad per quadrant divided by rad per sextant):
θ(quadrant) = θ(sextant) ÷ 1.5
Examples
Example #1: Convert 1 sextant to quadrant
1 sextant = 1 sextant × (1.0471975511965976/1.5707963267948966) quadrant = 0.6666666667 quadrant
1 sextant = 1 sextant ÷ 1.5 = 0.6666666667 quadrant
1 sextant × (1.0471975511965976/1.5707963267948966) = 0.666667 quadrant
Example #2: Convert 10 sextant to quadrant
10 sextant = 10 sextant × (1.0471975511965976/1.5707963267948966) quadrant = 6.6666666667 quadrant
10 sextant = 10 sextant ÷ 1.5 = 6.6666666667 quadrant
10 sextant × (1.0471975511965976/1.5707963267948966) = 6.666667 quadrant
Summary
To convert Sextant to Quadrant, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (1.5707963267948966 rad per quadrant). Equivalently: value_quadrant = value_sextant × (1.0471975511965976 / 1.5707963267948966). Numerically, 1 sextant equals 0.6666666666666666 quadrant.
Relationship context
Both Sextant and Quadrant are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per quadrant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Quadrant (quadrant) |
|---|---|
| 0.1 | 0.0666666667 |
| 1 | 0.6666666667 |
| 2 | 1.3333333333 |
| 3 | 2 |
| 4 | 2.6666666667 |
| 5 | 3.3333333333 |
| 6 | 4 |
| 7 | 4.6666666667 |
| 8 | 5.3333333333 |
| 9 | 6 |
| Sextant (sextant) | Quadrant (quadrant) |
|---|---|
| 10 | 6.6666666667 |
| 20 | 13.3333333333 |
| 30 | 20 |
| 40 | 26.6666666667 |
| 50 | 33.3333333333 |
| 60 | 40 |
| 70 | 46.6666666667 |
| 80 | 53.3333333333 |
| 90 | 60 |
| 100 | 66.6666666667 |