Gradians to Degrees Converter
1 gradian = 0.9 degrees
1 gradian equals 0.9 degrees
How to convert gradians to degrees
One full turn is 360° = 2π rad = 400 gon. A minute or second of arc is an angular unit, distinct from time; decimal displays of factors involving π are approximate.
° = gon × 9/10One gradian is 9/10 degrees, so a single multiplication converts any value.
9 ° = 10 × 9/10Gradians to degrees conversion table
Common values in gradians, converted to degrees.
| Gradians (gon) | Degrees (°) |
|---|---|
| 1 | 0.9 |
| 5 | 4.5 |
| 10 | 9 |
| 30 | 27 |
| 45 | 40.5 |
| 60 | 54 |
| 90 | 81 |
| 180 | 162 |
| 360 | 324 |
About these units
gradiangon
One 400th of a full turn, so a right angle is exactly 100 gon. Used in surveying.
degree°
One 360th of a full turn. The everyday angle unit.
Sources and precision
Table results are rounded to 8 significant digits; formula constants may be rounded to 10. Worked example answers use 6 significant digits. The converter starts at 6 significant digits and lets you change display precision. Calculations use the stored factors without intermediate rounding. Exact unit definitions do not make an input measurement more precise; conventional and measured factors follow the assumptions stated here.