Convert Gradians to Arcminutes
1 gradian is 54 ′. One gradian is exactly 54 arcminutes.
One gradian is 54 arcminutes. To convert gradians to arcminutes, multiply by 54; to go the other way, divide by 54 or multiply by 0.018518519. The factor is exact rather than rounded: it follows from NIST Special Publication 811. A 400th of a turn, so a right angle is exactly 100.
Factor checked against the defining standard · How we check
- Gradians × 54
1 * 5454 ′
1 gradian in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.01570796327 rad | × 0.0157079632679 |
| degrees | 0.9 ° | × 0.9 |
| gradians (as entered) | 1 gon | — |
| arcminutes | 54 ′ | × 54 |
| arcseconds | 3,240 ″ | × 3,240 |
| turns | 0.0025 turn | × 0.0025 |
| milliradians | 15.70796327 mrad | × 15.7079632679 |
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 gradians to arcminutes? The converter and the working
- 1.Take the measurement in gradians.
- 2.Multiply by 54 — that is how many arcminutes fit in one gradian.
- 3.To go back the other way, divide by 54, or multiply by 0.018518519.
Worked example: 25 gradians to arcminutes
- Formula
- gon × 54 = ′
- Arithmetic
- 25 × 54 = 1,350 ′
- Answer
- 25 gon = 1,350 ′
The factor is exact, so this figure is exact too — only the display is rounded.
Gradians to arcminutes conversion table
| Gradians | Arcminutes |
|---|---|
| 1 gon | 54 ′ |
| 2 gon | 108 ′ |
| 3 gon | 162 ′ |
| 4 gon | 216 ′ |
| 5 gon | 270 ′ |
| 6 gon | 324 ′ |
| 7 gon | 378 ′ |
| 8 gon | 432 ′ |
| 9 gon | 486 ′ |
| 10 gon | 540 ′ |
| 12 gon | 648 ′ |
| 15 gon | 810 ′ |
| 20 gon | 1,080 ′ |
| 25 gon | 1,350 ′ |
| 50 gon | 2,700 ′ |
| 100 gon | 5,400 ′ |
| 200 gon | 10,800 ′ |
| 300 gon | 16,200 ′ |
| 500 gon | 27,000 ′ |
| 1000 gon | 54,000 ′ |
| 2000 gon | 108,000 ′ |
| 5000 gon | 270,000 ′ |
| 10000 gon | 540,000 ′ |
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.
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 gradian?
One gradian is 54 arcminutes, exactly. Going the other way, one arcminute is 0.018518519 gradians. 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 gradian.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Gradians to arcminutes. Rule Calculator. https://rulecalculators.com/convert/gradian-to-arcminute
- MLA
- "Convert Gradians to arcminutes." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/gradian-to-arcminute.
- Chicago
- Rule Calculator. "Convert Gradians to arcminutes." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/gradian-to-arcminute.
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Questions people actually ask
- How many arcminutes are in a gradian?
- 54. 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 gradians?
- Divide by 54, or multiply by 0.018518519 — they are the same operation.
Other angle conversions
Arcminutes to gradians — the same conversion the other way.