Convert Arcminutes to Turns
1 arcminute is 0.0000463 turn. One arcminute is exactly 0.0000462962962963 turns.
One arcminute is 4.6296 × 10^-5 turns. To convert arcminutes to turns, multiply by 4.6296 × 10^-5; to go the other way, divide by 4.6296 × 10^-5 or multiply by 21600. The relation is exact but the figure is not: it is a rounding of a number that does not terminate, and it follows from NIST Special Publication 811. A sixtieth of a degree.
Factor checked against the defining standard · How we check
- Arcminutes × 4.6296 × 10^-5
1 * 0.00004630 turn
1 arcminute in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.0002908882087 rad | × 0.000290888208666 |
| degrees | 0.01666666667 ° | × 0.0166666666667 |
| gradians | 0.01851851852 gon | × 0.0185185185185 |
| arcminutes (as entered) | 1 ′ | — |
| arcseconds | 60 ″ | × 60 |
| turns | 0.0000462962963 turn | × 0.0000462962962963 |
| milliradians | 0.2908882087 mrad | × 0.290888208666 |
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 arcminutes to turns? The converter and the working
- 1.Take the measurement in arcminutes.
- 2.Multiply by 4.6296 × 10^-5 — that is how many turns fit in one arcminute.
- 3.To go back the other way, divide by 4.6296 × 10^-5, or multiply by 21600.
Worked example: 25 arcminutes to turns
- Formula
- ′ × 4.6296 × 10^-5 = turn
- Arithmetic
- 25 × 4.6296 × 10^-5 = 0.001157 turn
- Answer
- 25 ′ = 0.001157 turn
The factor is rounded for display; the figure above is computed from the full value.
Arcminutes to turns conversion table
| Arcminutes | Turns |
|---|---|
| 1 ′ | 0.0000463 turn |
| 2 ′ | 0.00009259 turn |
| 3 ′ | 0.0001389 turn |
| 4 ′ | 0.0001852 turn |
| 5 ′ | 0.0002315 turn |
| 6 ′ | 0.0002778 turn |
| 7 ′ | 0.0003241 turn |
| 8 ′ | 0.0003704 turn |
| 9 ′ | 0.0004167 turn |
| 10 ′ | 0.000463 turn |
| 12 ′ | 0.0005556 turn |
| 15 ′ | 0.0006944 turn |
| 20 ′ | 0.0009259 turn |
| 25 ′ | 0.001157 turn |
| 50 ′ | 0.002315 turn |
| 100 ′ | 0.00463 turn |
| 200 ′ | 0.01 turn |
| 300 ′ | 0.01 turn |
| 500 ′ | 0.02 turn |
| 1000 ′ | 0.05 turn |
| 2000 ′ | 0.09 turn |
| 5000 ′ | 0.23 turn |
| 10000 ′ | 0.46 turn |
What is an arcminute?
A sixtieth of a degree. A nautical mile was defined as one arcminute of latitude, which is why the two units keep appearing together on charts.
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.
How many turns are in an arcminute?
One arcminute is 4.6296 × 10^-5 turns. Going the other way, one turn is 21600 arcminutes. 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 an arcminute.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Arcminutes to turns. Rule Calculator. https://rulecalculators.com/convert/arcminute-to-turn
- MLA
- "Convert Arcminutes to turns." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/arcminute-to-turn.
- Chicago
- Rule Calculator. "Convert Arcminutes to turns." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/arcminute-to-turn.
The date is when the figures on this page were last checked against their source, not the day you opened it. Add your own access date if your style needs one.
Questions people actually ask
- How many turns are in an arcminute?
- 4.6296 × 10^-5. One full revolution — 360 degrees, 400 gradians, 2π radians. Gear ratios, threads per turn and rotational counts are all stated in these.
- How do I convert turns back to arcminutes?
- Divide by 4.6296 × 10^-5, or multiply by 21600 — they are the same operation.
Other angle conversions
Turns to arcminutes — the same conversion the other way.