Quadrant to Sextant Converter
Angle · unit-converter
Convert Quadrant 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 Quadrant
A quadrant is one quarter-turn: 90° or π/2 radians. It is useful in geometric and directional notation.
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 quadrants to sextants
1 quadrant equals 1.5 sextant in this tool (via radian):
1 quadrant = (1.5707963267948966 rad ÷ 1.0471975511965976 rad) sextant = 1.5 sextant
Each quadrant carries 1.5707963267948966 rad and each sextant 1.0471975511965976 rad, so one quadrant equals 1.5707963267948966 ÷ 1.0471975511965976 sextant.
Let θ(quadrant) be the angle in Quadrant (quadrant), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(quadrant) × (1.5707963267948966 / 1.0471975511965976)
Equivalently, divide by how many quadrant fit into one sextant (rad per sextant divided by rad per quadrant):
θ(sextant) = θ(quadrant) ÷ 0.6666666666666666
Examples
Example #1: Convert 1 quadrant to sextant
1 quadrant = 1 quadrant × (1.5707963267948966/1.0471975511965976) sextant = 1.5 sextant
1 quadrant = 1 quadrant ÷ 0.6666666666666666 = 1.5 sextant
1 quadrant × (1.5707963267948966/1.0471975511965976) = 1.500000 sextant
Example #2: Convert 10 quadrant to sextant
10 quadrant = 10 quadrant × (1.5707963267948966/1.0471975511965976) sextant = 15 sextant
10 quadrant = 10 quadrant ÷ 0.6666666666666666 = 15 sextant
10 quadrant × (1.5707963267948966/1.0471975511965976) = 15.000000 sextant
Summary
To convert Quadrant to Sextant, multiply the value in quadrant by (1.5707963267948966 rad per quadrant) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_quadrant × (1.5707963267948966 / 1.0471975511965976). Numerically, 1 quadrant equals 1.5 sextant.
Relationship context
Both Quadrant and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per quadrant) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Quadrant (quadrant) | Sextant (sextant) |
|---|---|
| 0.1 | 0.15 |
| 1 | 1.5 |
| 2 | 3 |
| 3 | 4.5 |
| 4 | 6 |
| 5 | 7.5 |
| 6 | 9 |
| 7 | 10.5 |
| 8 | 12 |
| 9 | 13.5 |
| Quadrant (quadrant) | Sextant (sextant) |
|---|---|
| 10 | 15 |
| 20 | 30 |
| 30 | 45 |
| 40 | 60 |
| 50 | 75 |
| 60 | 90 |
| 70 | 105 |
| 80 | 120 |
| 90 | 135 |
| 100 | 150 |