Degrees to Gradians Converter
1 degree ≈ 1.11111111 gradians
1 degree equals 1.11111 gradians
How to convert degrees to gradians
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 = ° × 10/9One degree is 10/9 gradians, so a single multiplication converts any value.
11.1111 gon ≈ 10 × 10/9Degrees to gradians conversion table
Common values in degrees, converted to gradians.
| Degrees (°) | Gradians (gon) |
|---|---|
| 1 | 1.1111111 |
| 5 | 5.5555556 |
| 10 | 11.111111 |
| 30 | 33.333333 |
| 45 | 50 |
| 60 | 66.666667 |
| 90 | 100 |
| 180 | 200 |
| 360 | 400 |
About these units
degree°
One 360th of a full turn. The everyday angle unit.
gradiangon
One 400th of a full turn, so a right angle is exactly 100 gon. Used in surveying.
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.