How to convert arcseconds to turns
tr = ″ × 7.716049383×10⁻⁷Because one turn equals 1,296,000 arcseconds, you can also divide: tr = ″ ÷ 1,296,000.
An arcsecond is smaller than a turn: it takes 1,296,000 arcseconds to make one turn.
Worked examples
- 1 arcsecond1 ″ × 7.716049383×10⁻⁷ = 7.716049383×10⁻⁷ tr
- 5 arcseconds5 ″ × 7.716049383×10⁻⁷ = 0.000003858024691 tr
- 10 arcseconds10 ″ × 7.716049383×10⁻⁷ = 0.000007716049383 tr
- 20 arcseconds20 ″ × 7.716049383×10⁻⁷ = 0.00001543209877 tr
- 100 arcseconds100 ″ × 7.716049383×10⁻⁷ = 0.00007716049383 tr
Arcseconds to turns conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Arcseconds (″) | Turns (tr) |
|---|---|
| 0.1 ″ | 7.7160494×10⁻⁸ tr |
| 0.25 ″ | 1.9290123×10⁻⁷ tr |
| 0.5 ″ | 3.8580247×10⁻⁷ tr |
| 1 ″ | 7.7160494×10⁻⁷ tr |
| 2 ″ | 0.0000015432099 tr |
| 3 ″ | 0.0000023148148 tr |
| 4 ″ | 0.0000030864198 tr |
| 5 ″ | 0.0000038580247 tr |
| 6 ″ | 0.0000046296296 tr |
| 7 ″ | 0.0000054012346 tr |
| 8 ″ | 0.0000061728395 tr |
| 9 ″ | 0.0000069444444 tr |
| 10 ″ | 0.0000077160494 tr |
| Arcseconds (″) | Turns (tr) |
|---|---|
| 12 ″ | 0.0000092592593 tr |
| 15 ″ | 0.000011574074 tr |
| 20 ″ | 0.000015432099 tr |
| 25 ″ | 0.000019290123 tr |
| 30 ″ | 0.000023148148 tr |
| 40 ″ | 0.000030864198 tr |
| 50 ″ | 0.000038580247 tr |
| 75 ″ | 0.00005787037 tr |
| 100 ″ | 0.000077160494 tr |
| 250 ″ | 0.00019290123 tr |
| 500 ″ | 0.00038580247 tr |
| 1,000 ″ | 0.00077160494 tr |
About the units
Arcsecond (″)
The arcsecond (″) is a unit of angle. One arcsecond equals 0.000004848136811 radians (rad).
Turn (tr)
The turn (tr) is a unit of angle. One turn equals 6.283185307 radians (rad).
Frequently asked questions
How many turns are in one arcsecond?
There are 7.716049383×10⁻⁷ turns in one arcsecond, and this value is exact by definition.
How do I convert arcseconds to turns?
Multiply the number of arcseconds by 7.716049383×10⁻⁷. For example, 10 ″ × 7.716049383×10⁻⁷ = 0.000007716049383 tr.
How many arcseconds are in one turn?
One turn equals 1,296,000 arcseconds. That is the reverse factor, 1 ÷ 7.716049383×10⁻⁷.
What is 10 arcseconds in turns?
10 ″ = 0.000007716049383 tr.
Is this ″ to tr converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.
Convert arcseconds to other units
- Arcseconds to degrees
- Arcseconds to radians
- Arcseconds to gradians
- Arcseconds to arcminutes
- Arcseconds to milliradians