Sextant to Revolution Converter
Angle · unit-converter
Convert Sextant to Revolution 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 Revolution
One revolution (turn) is a full circle: 2π radians or 360°. Used in rotation rates, motors, and astronomy (e.g. revolutions per minute).
How to convert sextants to revolutions
1 sextant equals 0.16666666666666666 revolution in this tool (via radian):
1 sextant = (1.0471975511965976 rad ÷ 6.283185307179586 rad) turn = 0.16666666666666666 turn
Each sextant carries 1.0471975511965976 rad and each revolution 6.283185307179586 rad, so one sextant equals 1.0471975511965976 ÷ 6.283185307179586 turn.
Let θ(sextant) be the angle in Sextant (sextant), and θ(turn) in Revolution (turn). Then:
θ(turn) = θ(sextant) × (1.0471975511965976 / 6.283185307179586)
Equivalently, divide by how many sextant fit into one turn (rad per turn divided by rad per sextant):
θ(turn) = θ(sextant) ÷ 6
Examples
Example #1: Convert 1 sextant to revolution
1 sextant = 1 sextant × (1.0471975511965976/6.283185307179586) turn = 0.1666666667 turn
1 sextant = 1 sextant ÷ 6 = 0.1666666667 turn
1 sextant × (1.0471975511965976/6.283185307179586) = 0.166667 turn
Example #2: Convert 10 sextant to revolution
10 sextant = 10 sextant × (1.0471975511965976/6.283185307179586) turn = 1.6666666667 turn
10 sextant = 10 sextant ÷ 6 = 1.6666666667 turn
10 sextant × (1.0471975511965976/6.283185307179586) = 1.666667 turn
Summary
To convert Sextant to Revolution, multiply the value in sextant by (1.0471975511965976 rad per sextant) / (6.283185307179586 rad per turn). Equivalently: value_turn = value_sextant × (1.0471975511965976 / 6.283185307179586). Numerically, 1 sextant equals 0.16666666666666666 turn.
Relationship context
Both Sextant and Revolution are converted by fixed multiples of the radian. Multiplying by (rad per sextant) ÷ (rad per turn) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Sextant (sextant) | Revolution (turn) |
|---|---|
| 0.1 | 0.0166666667 |
| 1 | 0.1666666667 |
| 2 | 0.3333333333 |
| 3 | 0.5 |
| 4 | 0.6666666667 |
| 5 | 0.8333333333 |
| 6 | 1 |
| 7 | 1.1666666667 |
| 8 | 1.3333333333 |
| 9 | 1.5 |
| Sextant (sextant) | Revolution (turn) |
|---|---|
| 10 | 1.6666666667 |
| 20 | 3.3333333333 |
| 30 | 5 |
| 40 | 6.6666666667 |
| 50 | 8.3333333333 |
| 60 | 10 |
| 70 | 11.6666666667 |
| 80 | 13.3333333333 |
| 90 | 15 |
| 100 | 16.6666666667 |