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Convert degrees to gradians
Instant, accurate ° → gon conversion with a live converter, table and formula.
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1 degree = 1.11111 gradians
1 gradian = 0.9 degrees
degrees to gradians table
| degrees (°) | gradians (gon) |
|---|---|
| 0.5 | 0.555556 |
| 1 | 1.11111 |
| 2 | 2.22222 |
| 5 | 5.55556 |
| 10 | 11.1111 |
| 20 | 22.2222 |
| 50 | 55.5556 |
| 100 | 111.111 |
| 500 | 555.556 |
| 1000 | 1111.11 |
Formula
gradians = degrees × 1.11111.
Example
10 degrees = 11.1111 gradians.
What is a degree?
A degree (°) is 1/360 of a full circle.
What is a gradian?
A gradian (gon) is 1/400 of a circle (100 per right angle).
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 | degrees | gradians |
|---|---|---|
| Clock minute tick | 6 ° | 6.67 gon |
| 45° ramp | 45 ° | 50 gon |
| Right angle | 90 ° | 100 gon |
| Full circle | 360 ° | 400 gon |
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 gradians in a degrees?+
1 degree = 1.11111 gradians.
How do I convert degrees to gradians?+
Enter the value in the degrees box above and the gradians value appears instantly. You can also type in the gradians box to convert the other way.
Is this ° to gon converter free?+
Yes — it is 100% free, needs no sign-up, and runs entirely in your browser.