Convert Turns to Arcminutes
1 turn is 21,600 ′. One turn is exactly 21600 arcminutes.
One turn is 21600 arcminutes. To convert turns to arcminutes, multiply by 21600; to go the other way, divide by 21600 or multiply by 4.6296 × 10^-5. 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 × 21600
1 * 2160021,600 ′
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 arcminutes? The converter and the working
- 1.Take the measurement in turns.
- 2.Multiply by 21600 — that is how many arcminutes fit in one turn.
- 3.To go back the other way, divide by 21600, or multiply by 4.6296 × 10^-5.
Worked example: 25 turns to arcminutes
- Formula
- turn × 21600 = ′
- Arithmetic
- 25 × 21600 = 540,000 ′
- Answer
- 25 turn = 540,000 ′
The factor is exact, so this figure is exact too — only the display is rounded.
Turns to arcminutes conversion table
| Turns | Arcminutes |
|---|---|
| 1 turn | 21,600 ′ |
| 2 turn | 43,200 ′ |
| 3 turn | 64,800 ′ |
| 4 turn | 86,400 ′ |
| 5 turn | 108,000 ′ |
| 6 turn | 129,600 ′ |
| 7 turn | 151,200 ′ |
| 8 turn | 172,800 ′ |
| 9 turn | 194,400 ′ |
| 10 turn | 216,000 ′ |
| 12 turn | 259,200 ′ |
| 15 turn | 324,000 ′ |
| 20 turn | 432,000 ′ |
| 25 turn | 540,000 ′ |
| 50 turn | 1,080,000 ′ |
| 100 turn | 2,160,000 ′ |
| 200 turn | 4,320,000 ′ |
| 300 turn | 6,480,000 ′ |
| 500 turn | 10,800,000 ′ |
| 1000 turn | 21,600,000 ′ |
| 2000 turn | 43,200,000 ′ |
| 5000 turn | 108,000,000 ′ |
| 10000 turn | 216,000,000 ′ |
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 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.
How many arcminutes are in a turn?
One turn is 21600 arcminutes, exactly. Going the other way, one arcminute is 4.6296 × 10^-5 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 arcminutes. Rule Calculator. https://rulecalculators.com/convert/turn-to-arcminute
- MLA
- "Convert Turns to arcminutes." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/turn-to-arcminute.
- Chicago
- Rule Calculator. "Convert Turns to arcminutes." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/turn-to-arcminute.
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Questions people actually ask
- How many arcminutes are in a turn?
- 21600. 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.
- How do I convert arcminutes back to turns?
- Divide by 21600, or multiply by 4.6296 × 10^-5 — they are the same operation.
Other angle conversions
Arcminutes to turns — the same conversion the other way.