Gradians to degrees
Type a value in gradians to see it in degrees 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 gradians box.
- Read the result in degrees as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
° = gon × 0.9
Multiply the value in gradians by 0.9 to get degrees.
Example
To convert 25 gon to degrees: 25 × 0.9 = 22.5 °.
Conversion table
| Gradians (gon) | Degrees (°) |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 5 | 4.5 |
| 10 | 9 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
| 250 | 225 |
| 500 | 450 |
| 1,000 | 900 |
About the units
- 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.
- Degree
- A degree is 1/360 of a full turn, exactly π/180 radians, and is the everyday unit in geometry, navigation and maps.
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 degrees are in one gradian?
1 gon = 0.9 ° exactly.
How do I convert gradians to degrees?
Use ° = gon × 0.9. For example, 25 gon = 22.5 °.
How many gradians are in one degree?
1 ° = 1.11111 gon.
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.