Revolution to Sextant Converter
Angle · unit-converter
Convert Revolution 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 Revolution
One revolution (turn) is a full circle: 2π radians or 360°. Used in rotation rates, motors, and astronomy (e.g. revolutions per minute).
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 revolutions to sextants
1 revolution equals 6 sextant in this tool (via radian):
1 turn = (6.283185307179586 rad ÷ 1.0471975511965976 rad) sextant = 6 sextant
Each revolution carries 6.283185307179586 rad and each sextant 1.0471975511965976 rad, so one turn equals 6.283185307179586 ÷ 1.0471975511965976 sextant.
Let θ(turn) be the angle in Revolution (turn), and θ(sextant) in Sextant (sextant). Then:
θ(sextant) = θ(turn) × (6.283185307179586 / 1.0471975511965976)
Equivalently, divide by how many turn fit into one sextant (rad per sextant divided by rad per turn):
θ(sextant) = θ(turn) ÷ 0.16666666666666666
Examples
Example #1: Convert 1 turn to sextant
1 turn = 1 turn × (6.283185307179586/1.0471975511965976) sextant = 6 sextant
1 turn = 1 turn ÷ 0.16666666666666666 = 6 sextant
1 turn × (6.283185307179586/1.0471975511965976) = 6.000000 sextant
Example #2: Convert 10 turn to sextant
10 turn = 10 turn × (6.283185307179586/1.0471975511965976) sextant = 60 sextant
10 turn = 10 turn ÷ 0.16666666666666666 = 60 sextant
10 turn × (6.283185307179586/1.0471975511965976) = 60.000000 sextant
Summary
To convert Revolution to Sextant, multiply the value in turn by (6.283185307179586 rad per turn) / (1.0471975511965976 rad per sextant). Equivalently: value_sextant = value_turn × (6.283185307179586 / 1.0471975511965976). Numerically, 1 turn equals 6 sextant.
Relationship context
Both Revolution and Sextant are converted by fixed multiples of the radian. Multiplying by (rad per turn) ÷ (rad per sextant) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Revolution (turn) | Sextant (sextant) |
|---|---|
| 0.1 | 0.6 |
| 1 | 6 |
| 2 | 12 |
| 3 | 18 |
| 4 | 24 |
| 5 | 30 |
| 6 | 36 |
| 7 | 42 |
| 8 | 48 |
| 9 | 54 |
| Revolution (turn) | Sextant (sextant) |
|---|---|
| 10 | 60 |
| 20 | 120 |
| 30 | 180 |
| 40 | 240 |
| 50 | 300 |
| 60 | 360 |
| 70 | 420 |
| 80 | 480 |
| 90 | 540 |
| 100 | 600 |