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Convert gradians to degrees
Instant, accurate gon → ° conversion with a live converter, table and formula.
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1 gradian = 0.9 degrees
1 degree = 1.11111 gradians
gradians to degrees table
| gradians (gon) | degrees (°) |
|---|---|
| 0.5 | 0.45 |
| 1 | 0.9 |
| 2 | 1.8 |
| 5 | 4.5 |
| 10 | 9 |
| 20 | 18 |
| 50 | 45 |
| 100 | 90 |
| 500 | 450 |
| 1000 | 900 |
Formula
degrees = gradians × 0.9.
Example
10 gradians = 9 degrees.
What is a gradian?
A gradian (gon) is 1/400 of a circle (100 per right angle).
What is a degree?
A degree (°) is 1/360 of a full circle.
Real-world reference points
A right angle is 90° (π/2 rad); a full turn 360° (2π); one minute on a clock face is 6°.
| Reference | gradians | degrees |
|---|---|---|
| Clock minute tick | 6.67 gon | 6 ° |
| 45° ramp | 50 gon | 45 ° |
| Right angle | 100 gon | 90 ° |
| Full circle | 400 gon | 360 ° |
Mistakes to avoid with angle conversions
- Calling Math.sin() with degrees — programming languages default to radians.
- Confusing slope percent with degrees: a 100% grade is 45°, not 90°.
- Mixing gradians (400/turn) from surveying tools with degrees (360/turn).
Frequently asked questions
How many degrees in a gradians?+
1 gradian = 0.9 degrees.
How do I convert gradians to degrees?+
Enter the value in the gradians box above and the degrees value appears instantly. You can also type in the degrees box to convert the other way.
Is this gon to ° converter free?+
Yes — it is 100% free, needs no sign-up, and runs entirely in your browser.