Gradians to Minutes of Arc Converter
Convert gradians (gons) (gon) to minutes of arc (′), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 gon = 54 ′
- 1 × 54 = 54 ′
How to convert gradians to minutes of arc
1 gon = 54 ′, so multiply by 54 to go from gradians (gons) to minutes of arc. Going the other way, 1 ′ = 0.0185185185185 gon.
′ = gon × 54 gon = ′ × 0.0185185185185
Worked example:
1 gon = 54 ′ 5 × 54 = 270 ′
Gradians to minutes of arc table
| Gradians | Minutes of Arc |
|---|---|
| 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 ′ |
| 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 ′ |
| 1000 gon | 54,000 ′ |
About the units
- Gradians (gon)
- Gradians (gons), a specialised unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.
- Minutes of Arc (′)
- Minutes of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).