Degrees to Gradians Converter
Convert degrees to gradians instantly. Free angle converter for surveying and engineering.
Formula
gradians = degrees × 10 / 9
Common Conversions
What's a Gradian?
A gradian (also gon, grad, or grade) is a unit of angle: 100 gradians = 90° (right angle). So a full circle = 400 gradians. The decimal-friendly system was proposed during the French Revolution alongside other metric units. Less common than degrees today, used mostly in surveying and some European military contexts.
Multiply degrees by 10/9 (or 1.111...) to get gradians. So 90° × 10/9 = 100 gradians. 45° × 10/9 = 50 gradians. The decimal alignment makes some calculations cleaner - a quarter circle is exactly 100, not 90 with awkward fractions.
Degrees to Gradians
| Degrees | Gradians |
|---|---|
| 0° | 0 gon |
| 30° | 33.33 gon |
| 45° | 50 gon |
| 60° | 66.67 gon |
| 90° (right angle) | 100 gon |
| 180° (straight) | 200 gon |
| 270° | 300 gon |
| 360° (full circle) | 400 gon |
Frequently Asked Questions
Why are gradians not common?
Degrees won the cultural battle. Gradians were introduced to align with the metric system but never displaced the established 360-degree circle (Babylonian heritage). Some surveying contexts (especially in France, Germany) use gradians; almost all other technical uses prefer degrees or radians.
Should I learn gradians?
Only if your work involves surveying or specific European technical contexts. Most students never encounter them. Some scientific calculators have a 'GRAD' mode alongside DEG/RAD; that's the gradian setting.
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