Degrees to gradians
Type a value in degrees to see it in gradians straight away, or type in the second box to convert back.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Type the value in the degrees box.
- Read the result in gradians as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
gon = ° × 1.111111111
Multiply the value in degrees by 1.111111111 to get gradians.
Example
To convert 25 ° to gradians: 25 × 1.111111111 = 27.7778 gon.
Conversion table
| Degrees (°) | Gradians (gon) |
|---|---|
| 1 | 1.11111 |
| 2 | 2.22222 |
| 3 | 3.33333 |
| 5 | 5.55556 |
| 10 | 11.1111 |
| 20 | 22.2222 |
| 25 | 27.7778 |
| 50 | 55.5556 |
| 100 | 111.111 |
| 250 | 277.778 |
| 500 | 555.556 |
| 1,000 | 1,111.11 |
About the units
- Degree
- A degree is 1/360 of a full turn, exactly π/180 radians, and is the everyday unit in geometry, navigation and maps.
- Gradian
- The gradian (gon) is 1/400 of a full turn, exactly 0.9 degree, so a right angle is 100 gradians. It is used in European surveying.
Limits and caveats
- Results are rounded for display and computed with the browser's floating point precision (about 15 significant digits).
- Both unit factors are exact by their official definitions.
Questions about this tool
How many gradians are in one degree?
1 ° = 1.11111 gon exactly.
How do I convert degrees to gradians?
Use gon = ° × 1.111111111. For example, 25 ° = 27.7778 gon.
How many degrees are in one gradian?
1 gon = 0.9 °.
Why does my calculator give a strange answer for sine?
It is probably set to radians (RAD) while you are entering degrees. The sine of 30 degrees is 0.5, but the sine of 30 radians is about -0.988, so switch to DEG first.
What is the difference between MOA and MIL on a rifle scope?
MOA is an arcminute, 1/60 of a degree, while a MIL is a milliradian, about 3.438 MOA. At 100 meters a 0.1 MIL click moves impact 1 cm, and 1 MOA moves it about 2.9 cm.