Convert Arcminutes to Gradians
1 arcminute is 0.02 gon. One arcminute is exactly 0.0185185185185 gradians.
One arcminute is 0.018518519 gradians. To convert arcminutes to gradians, multiply by 0.018518519; to go the other way, divide by 0.018518519 or multiply by 54. 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 × 0.018518519
1 * 0.01851850.019 gon
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 gradians? The converter and the working
- 1.Take the measurement in arcminutes.
- 2.Multiply by 0.018518519 — that is how many gradians fit in one arcminute.
- 3.To go back the other way, divide by 0.018518519, or multiply by 54.
Worked example: 25 arcminutes to gradians
- Formula
- ′ × 0.018518519 = gon
- Arithmetic
- 25 × 0.018518519 = 0.46 gon
- Answer
- 25 ′ = 0.46 gon
The factor is rounded for display; the figure above is computed from the full value.
Arcminutes to gradians conversion table
| Arcminutes | Gradians |
|---|---|
| 1 ′ | 0.02 gon |
| 2 ′ | 0.04 gon |
| 3 ′ | 0.06 gon |
| 4 ′ | 0.07 gon |
| 5 ′ | 0.09 gon |
| 6 ′ | 0.11 gon |
| 7 ′ | 0.13 gon |
| 8 ′ | 0.15 gon |
| 9 ′ | 0.17 gon |
| 10 ′ | 0.19 gon |
| 12 ′ | 0.22 gon |
| 15 ′ | 0.28 gon |
| 20 ′ | 0.37 gon |
| 25 ′ | 0.46 gon |
| 50 ′ | 0.93 gon |
| 100 ′ | 1.85 gon |
| 200 ′ | 3.7 gon |
| 300 ′ | 5.56 gon |
| 500 ′ | 9.26 gon |
| 1000 ′ | 18.52 gon |
| 2000 ′ | 37.04 gon |
| 5000 ′ | 92.59 gon |
| 10000 ′ | 185.19 gon |
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 gradian?
A 400th of a turn, so a right angle is exactly 100. Invented with the metric system and still used in European surveying and on calculators with a GRAD mode nobody means to press.
How many gradians are in an arcminute?
One arcminute is 0.018518519 gradians. Going the other way, one gradian is 54 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 gradians. Rule Calculator. https://rulecalculators.com/convert/arcminute-to-gradian
- MLA
- "Convert Arcminutes to gradians." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/arcminute-to-gradian.
- Chicago
- Rule Calculator. "Convert Arcminutes to gradians." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/arcminute-to-gradian.
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Questions people actually ask
- How many gradians are in an arcminute?
- 0.018518519. A 400th of a turn, so a right angle is exactly 100. Invented with the metric system and still used in European surveying and on calculators with a GRAD mode nobody means to press.
- How do I convert gradians back to arcminutes?
- Divide by 0.018518519, or multiply by 54 — they are the same operation.
Other angle conversions
Gradians to arcminutes — the same conversion the other way.