Convert Arcseconds to Arcminutes
1 arcsecond is 0.02 ′. One arcsecond is exactly 0.0166666666667 arcminutes.
One arcsecond is 0.016666667 arcminutes. To convert arcseconds to arcminutes, multiply by 0.016666667; to go the other way, divide by 0.016666667 or multiply by 60. 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 3,600th of a degree.
Factor checked against the defining standard · How we check
- Arcseconds × 0.016666667
1 * 0.01666670.017 ′
1 arcsecond in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.000004848136811 rad | × 0.0000048481368111 |
| degrees | 0.0002777777778 ° | × 0.000277777777778 |
| gradians | 0.0003086419753 gon | × 0.000308641975309 |
| arcminutes | 0.01666666667 ′ | × 0.0166666666667 |
| arcseconds (as entered) | 1 ″ | — |
| turns | 0.0000007716049383 turn | × 0.000000771604938272 |
| milliradians | 0.004848136811 mrad | × 0.0048481368111 |
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 arcseconds to arcminutes? The converter and the working
- 1.Take the measurement in arcseconds.
- 2.Multiply by 0.016666667 — that is how many arcminutes fit in one arcsecond.
- 3.To go back the other way, divide by 0.016666667, or multiply by 60.
Worked example: 25 arcseconds to arcminutes
- Formula
- ″ × 0.016666667 = ′
- Arithmetic
- 25 × 0.016666667 = 0.42 ′
- Answer
- 25 ″ = 0.42 ′
The factor is rounded for display; the figure above is computed from the full value.
Arcseconds to arcminutes conversion table
| Arcseconds | Arcminutes |
|---|---|
| 1 ″ | 0.02 ′ |
| 2 ″ | 0.03 ′ |
| 3 ″ | 0.05 ′ |
| 4 ″ | 0.07 ′ |
| 5 ″ | 0.08 ′ |
| 6 ″ | 0.1 ′ |
| 7 ″ | 0.12 ′ |
| 8 ″ | 0.13 ′ |
| 9 ″ | 0.15 ′ |
| 10 ″ | 0.17 ′ |
| 12 ″ | 0.2 ′ |
| 15 ″ | 0.25 ′ |
| 20 ″ | 0.33 ′ |
| 25 ″ | 0.42 ′ |
| 50 ″ | 0.83 ′ |
| 100 ″ | 1.67 ′ |
| 200 ″ | 3.33 ′ |
| 300 ″ | 5 ′ |
| 500 ″ | 8.33 ′ |
| 1000 ″ | 16.67 ′ |
| 2000 ″ | 33.33 ′ |
| 5000 ″ | 83.33 ′ |
| 10000 ″ | 166.67 ′ |
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.
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 an arcsecond?
One arcsecond is 0.016666667 arcminutes. Going the other way, one arcminute is 60 arcseconds. 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 arcsecond.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Arcseconds to arcminutes. Rule Calculator. https://rulecalculators.com/convert/arcsecond-to-arcminute
- MLA
- "Convert Arcseconds to arcminutes." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/arcsecond-to-arcminute.
- Chicago
- Rule Calculator. "Convert Arcseconds to arcminutes." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/arcsecond-to-arcminute.
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Questions people actually ask
- How many arcminutes are in an arcsecond?
- 0.016666667. 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 arcseconds?
- Divide by 0.016666667, or multiply by 60 — they are the same operation.
Other angle conversions
Arcminutes to arcseconds — the same conversion the other way.