Gradians to Degrees Converter
Convert gradians (gons) (gon) to degrees (°), 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 = 0.9 °
- 1 × 0.9 = 0.9 °
How to convert gradians to degrees
1 gon = 0.9 °, so multiply by 0.9 to go from gradians (gons) to degrees. Going the other way, 1 ° = 1.11111111111 gon.
° = gon × 0.9 gon = ° × 1.11111111111
Worked example:
1 gon = 0.9 ° 5 × 0.9 = 4.5 °
Gradians to degrees table
| Gradians | Degrees |
|---|---|
| 1 gon | 0.9 ° |
| 2 gon | 1.8 ° |
| 3 gon | 2.7 ° |
| 4 gon | 3.6 ° |
| 5 gon | 4.5 ° |
| 6 gon | 5.4 ° |
| 7 gon | 6.3 ° |
| 8 gon | 7.2 ° |
| 9 gon | 8.1 ° |
| 10 gon | 9 ° |
| 15 gon | 13.5 ° |
| 20 gon | 18 ° |
| 25 gon | 22.5 ° |
| 30 gon | 27 ° |
| 40 gon | 36 ° |
| 50 gon | 45 ° |
| 75 gon | 67.5 ° |
| 100 gon | 90 ° |
| 250 gon | 225 ° |
| 500 gon | 450 ° |
| 1000 gon | 900 ° |
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.
- Degrees (°)
- Degrees, 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).