Gradians to Degrees Converter
Convert gradians to degrees easily. Free angle converter for engineering and surveying.
Formula
degrees = gradians × 9 / 10
Common Conversions
How to Convert Gradians to Degrees
Multiply gradians by 9/10 (or 0.9) to get degrees. So 100 gradians × 0.9 = 90°. 200 gradians × 0.9 = 180° (straight line). The relationship: 400 gradians = 360°, so degrees = gradians × (360/400) = gradians × 0.9.
Useful when reading European surveying data or scientific instruments set to gradian mode. A surveyor's bearing of 50 gradians = 45°. A 130 gradian heading = 117°. Converting back lets you visualise gradian readings on familiar degree-based compasses or maps.
Gradians to Degrees
| Gradians | Degrees |
|---|---|
| 10 gon | 9° |
| 25 gon | 22.5° |
| 50 gon | 45° |
| 100 gon (right angle) | 90° |
| 150 gon | 135° |
| 200 gon (straight) | 180° |
| 300 gon | 270° |
| 400 gon (full circle) | 360° |
Frequently Asked Questions
When would I see gradian readings?
European surveying instruments, French/German civil engineering documents, some specialised scientific equipment. Compass readings in some military contexts (particularly artillery, where the 'mil' unit is even smaller). Most everyday angles use degrees or radians.
Are 'gradian' and 'gradient' related?
Different concepts. Gradian is an angle unit. Gradient (in math) is a vector showing rate of change. In civil engineering, 'gradient' (or grade) means slope as a percentage rise/run. Don't confuse them - context tells you which is meant.
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