1 degree = 1.11111 gradians
Convert degrees to gradians.
Both directions on one page — swap the units and the whole thing runs backwards.
Type a value, or “5cm to in”
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The formula
gon = ° × 1.11111
Worked through with a real value: 10 degrees = 11.1111 gradians.
Going the other way: ° = gon × 0.9, so 1 gradian = 0.9 degrees.
What each unit is
- degree °
- One 360th of a full turn. The everyday unit for angles in navigation, surveying, geometry and most general contexts.
- gradian gon
- One 400th of a full turn, also called a grade. Favoured in surveying and some engineering disciplines.
Where these come from
- 1 degree = 0.017453292519943295 radians
- 1 gradian = 0.015707963267948967 radians
Every other number on this page is computed from those, and each category is pinned to conversions worked out by hand from the units' primary definitions before it ships.
Conversion tables
| degrees (°) | gradians (gon) |
|---|---|
| 1 | 1.11111 |
| 2 | 2.22222 |
| 3 | 3.33333 |
| 4 | 4.44444 |
| 5 | 5.55556 |
| 6 | 6.66667 |
| 7 | 7.77778 |
| 8 | 8.88889 |
| 9 | 10 |
| 10 | 11.1111 |
| 20 | 22.2222 |
| 25 | 27.7778 |
| 50 | 55.5556 |
| 75 | 83.3333 |
| 100 | 111.111 |
| gradians (gon) | degrees (°) |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 4 | 3.6 |
| 5 | 4.5 |
| 6 | 5.4 |
| 7 | 6.3 |
| 8 | 7.2 |
| 9 | 8.1 |
| 10 | 9 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 75 | 67.5 |
| 100 | 90 |
Questions
How many gradians are in a degree?
1 degree = 1.11111 gradians.
How do I convert degrees to gradians?
Use gon = ° × 1.11111. For example, 10 degrees = 11.1111 gradians.
How many degrees are in one gradian?
1 gradian = 0.9 degrees.
What is 10 degrees in gradians?
10 degrees = 11.1111 gradians.
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