Convert Gradians to Arcminutes (gon to ′)
1 gradian (gon) = 54 minutes of arc (′). 1 ′ = 0.01851851852 gon. Example: 15 gon = 15 × 54 = 810 ′.
Also searched as gradians to ′, gradians in ′, gradians into minutes of arc, gon to ′, gon in minutes of arc, gon into minute of arc, gradian to minute of arc, gon to minutes of arc converter and how many minutes of arc in a gradian.
1 gon = 54 ′
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk gradian to minute of arc converter to paste a column from Excel.
How to Convert Gradian to Arcminute
- 1 gon = 54 ′
- 1 ′ = 0.01851851852 gon
- Example: convert 15 gon to ′: 15 gon = 15 × 54 ′ = 810 ′
Formula
′ = gon × 54
Derivation from SI units:
- 1 gon = π/200 rad; a right angle is 100 gon and a full turn 400 gon.
- 1′ = (1/60)° = π/10 800 rad.
- 1 gon = 0.01570796326795 rad ÷ 0.0002908882086657 rad per ′ = 54 ′
Both units are defined exactly, so the factor is exact. Gradian definition: gradian; Arcminute definition: minute of arc.
Worked examples
- A reading of 50 gon converts to 2700 ′.
50 gon × 54 = 2700 ′ - A value of 200 gon is 10800 ′.
200 gon × 54 = 10800 ′
Gradian to Arcminute conversion table
| Gradians (gon) | Arcminutes (′) |
|---|---|
| 1 gon | 54 ′ |
| 10 gon | 540 ′ |
| 25 gon | 1350 ′ |
| 50 gon | 2700 ′ |
| 100 gon | 5400 ′ |
| 150 gon | 8100 ′ |
| 200 gon | 10800 ′ |
| 300 gon | 16200 ′ |
| 400 gon | 21600 ′ |
| 0.5 gon | 27 ′ |
Where it's used
Gradians are used for land surveying in Europe, while minutes of arc appear in latitude and longitude (degrees, minutes, seconds). Both measure plane angle, so the conversion is a fixed factor.
Gradian to other angle units
| Conversion | 1 gon equals |
|---|---|
| gradian to minute of arc | 54 ′ |
| gradian to radian | 0.01570796327 rad |
| gradian to degree | 0.9 ° |
| gradian to revolution | 0.0025 rev |
| gradian to second of arc | 3240 ″ |
Frequently asked questions
How many minutes of arc are in 1 gradian?
1 gon = 54 ′.
How do I convert gradians to minutes of arc?
Multiply the value in gon by 54. For example, 15 gon × 54 = 810 ′.
Is the gon to ′ conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "grad".
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Gradians to Arcminutes (gon to ′). Retrieved October 25, 2026, from https://scientificconverters.com/angle/gradians-to-arcminutes/
IEEE
Scientific Converters, "Convert Gradians to Arcminutes (gon to ′)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/gradians-to-arcminutes/