How to convert gradians to arcminutes
′ = gon × 54Multiply the value in gradians by 54. To go the other way, multiply by 0.01851851852 (or divide by 54).
A gradian is larger than an arcminute: one gradian contains 54 arcminutes.
Worked examples
- 1 gradian1 gon × 54 = 54 ′
- 5 gradians5 gon × 54 = 270 ′
- 10 gradians10 gon × 54 = 540 ′
- 20 gradians20 gon × 54 = 1,080 ′
- 100 gradians100 gon × 54 = 5,400 ′
Gradians to arcminutes conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Gradians (gon) | Arcminutes (′) |
|---|---|
| 0.1 gon | 5.4 ′ |
| 0.25 gon | 13.5 ′ |
| 0.5 gon | 27 ′ |
| 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 ′ |
| Gradians (gon) | Arcminutes (′) |
|---|---|
| 12 gon | 648 ′ |
| 15 gon | 810 ′ |
| 20 gon | 1,080 ′ |
| 25 gon | 1,350 ′ |
| 30 gon | 1,620 ′ |
| 40 gon | 2,160 ′ |
| 50 gon | 2,700 ′ |
| 75 gon | 4,050 ′ |
| 100 gon | 5,400 ′ |
| 250 gon | 13,500 ′ |
| 500 gon | 27,000 ′ |
| 1,000 gon | 54,000 ′ |
About the units
Gradian (gon)
One 400th of a turn, so a right angle is 100 gon. Used in surveying in some countries. One gradian equals 0.01570796327 radians (rad).
Arcminute (′)
One sixtieth of a degree. Rifle-scope adjustments are often given in MOA (minutes of angle). One arcminute equals 0.0002908882087 radians (rad).
Frequently asked questions
How many arcminutes are in one gradian?
There are 54 arcminutes in one gradian, and this value is exact by definition.
How do I convert gradians to arcminutes?
Multiply the number of gradians by 54. For example, 10 gon × 54 = 540 ′.
How many gradians are in one arcminute?
One arcminute equals 0.01851851852 gradians. That is the reverse factor, 1 ÷ 54.
What is 10 gradians in arcminutes?
10 gon = 540 ′.
Is this gon to ′ converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.