Convert Turns to Arcseconds
1 turn is 1,296,000 ″. One turn is exactly 1296000 arcseconds.
One turn is 1296000 arcseconds. To convert turns to arcseconds, multiply by 1296000; to go the other way, divide by 1296000 or multiply by 7.7160 × 10^-7. The factor is exact rather than rounded: it follows from NIST Special Publication 811. One full revolution — 360 degrees, 400 gradians, 2π radians.
Factor checked against the defining standard · How we check
- Turns × 1296000
1 * 12960001,296,000 ″
1 turn in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 6.283185307 rad | × 6.28318530718 |
| degrees | 360 ° | × 360 |
| gradians | 400 gon | × 400 |
| arcminutes | 21,600 ′ | × 21,600 |
| arcseconds | 1,296,000 ″ | × 1,296,000 |
| turns (as entered) | 1 turn | — |
| milliradians | 6,283.185307 mrad | × 6,283.18530718 |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert turns to arcseconds? The converter and the working
- 1.Take the measurement in turns.
- 2.Multiply by 1296000 — that is how many arcseconds fit in one turn.
- 3.To go back the other way, divide by 1296000, or multiply by 7.7160 × 10^-7.
Worked example: 25 turns to arcseconds
- Formula
- turn × 1296000 = ″
- Arithmetic
- 25 × 1296000 = 32,400,000 ″
- Answer
- 25 turn = 32,400,000 ″
The factor is exact, so this figure is exact too — only the display is rounded.
Turns to arcseconds conversion table
| Turns | Arcseconds |
|---|---|
| 1 turn | 1,296,000 ″ |
| 2 turn | 2,592,000 ″ |
| 3 turn | 3,888,000 ″ |
| 4 turn | 5,184,000 ″ |
| 5 turn | 6,480,000 ″ |
| 6 turn | 7,776,000 ″ |
| 7 turn | 9,072,000 ″ |
| 8 turn | 10,368,000 ″ |
| 9 turn | 11,664,000 ″ |
| 10 turn | 12,960,000 ″ |
| 12 turn | 15,552,000 ″ |
| 15 turn | 19,440,000 ″ |
| 20 turn | 25,920,000 ″ |
| 25 turn | 32,400,000 ″ |
| 50 turn | 64,800,000 ″ |
| 100 turn | 129,600,000 ″ |
| 200 turn | 259,200,000 ″ |
| 300 turn | 388,800,000 ″ |
| 500 turn | 648,000,000 ″ |
| 1000 turn | 1,296,000,000 ″ |
| 2000 turn | 2,592,000,000 ″ |
| 5000 turn | 6,480,000,000 ″ |
| 10000 turn | 12,960,000,000 ″ |
What is a turn?
One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
What is an arcsecond?
A 3,600th of a degree. Stellar parallax is measured in these: a star one arcsecond of parallax away is one parsec from Earth, which is where the name comes from.
How many arcseconds are in a turn?
One turn is 1296000 arcseconds, exactly. Going the other way, one arcsecond is 7.7160 × 10^-7 turns. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to a turn.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Turns to arcseconds. Rule Calculator. https://rulecalculators.com/convert/turn-to-arcsecond
- MLA
- "Convert Turns to arcseconds." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/turn-to-arcsecond.
- Chicago
- Rule Calculator. "Convert Turns to arcseconds." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/turn-to-arcsecond.
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Questions people actually ask
- How many arcseconds are in a turn?
- 1296000. A 3,600th of a degree. Stellar parallax is measured in these: a star one arcsecond of parallax away is one parsec from Earth, which is where the name comes from.
- How do I convert arcseconds back to turns?
- Divide by 1296000, or multiply by 7.7160 × 10^-7 — they are the same operation.
Other angle conversions
Arcseconds to turns — the same conversion the other way.