Convert gradians to degrees
Converting gradians to degrees is a common angle task, whether you are checking a recipe, a spec sheet, a travel distance or a homework problem. Since 1 gon equals 0.9 °, the math is a single multiplication — and this page does it for you instantly, with the formula, a table of common values and answers to the questions people ask most.
Exact factor
How to convert gradians to degrees
To convert gradians to degrees, multiply the number of gradians by 0.9. For example, 10 gon × 0.9 = 9 °.
° = gon × 0.9
- Write down the value in gradians you want to convert.
- Multiply it by 0.9 (the exact gon→° factor).
- The result is your value in degrees. Check it below with the converter or the table.
Conversion table
Common values of gradians and their equivalents in degrees:
| gon | ° |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 4 | 3.6 |
| 5 | 4.5 |
| 10 | 9 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
| 250 | 225 |
| 500 | 450 |
About these units
Gradian (gon). A gradian (gon) is 1/400 of a full circle, so a right angle is exactly 100 gradians. It is used in surveying and some European engineering fields for decimal-friendly math.
Degree (°). A degree is 1/360 of a full circle, the everyday angle unit inherited from Babylonian astronomy. Maps, compasses, geometry classes and weather use degrees.
Frequently asked questions
How do I convert gradians to degrees?
To convert gradians to degrees, multiply the number of gradians by 0.9. For example, 10 gon × 0.9 = 9 °. Or skip the math: type the value into the converter at the top of this page and the result updates instantly.
How many degrees are in 1 gradian?
1 gon = 0.9 °. That is the fixed relationship used by this converter and by international standards.
How many gradians are in 1 degree?
1 ° = 1.11111 gon. If you are converting in the opposite direction, use our Degree to Gradian converter for the dedicated table and FAQ.
Is the gradians to degrees conversion exact?
Yes. Both units are defined by international agreement, so the factor of 0.9 is exact. Displayed results are rounded to 6 significant digits only for readability.
What is gradian used for?
A gradian (gon) is 1/400 of a full circle, so a right angle is exactly 100 gradians. It is used in surveying and some European engineering fields for decimal-friendly math.