📏 Gradians to Degrees Converter
Convert gradians (gon) to degrees (°) instantly, with the formula, a worked example and a conversion table.
Quick answer: 1 gradian (gon) = 0.9 degrees (°). Formula: ° = gon × 0.9.
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Gradians to Degrees Converter inputs
Result
Gradians to Degrees conversion table
| Gradians (gon) | Degrees (°) |
|---|---|
| 0.1 gon | 0.09 ° |
| 0.5 gon | 0.45 ° |
| 1 gon | 0.9 ° |
| 2 gon | 1.8 ° |
| 3 gon | 2.7 ° |
| 5 gon | 4.5 ° |
| 10 gon | 9 ° |
| 20 gon | 18 ° |
| 25 gon | 22.5 ° |
| 50 gon | 45 ° |
| 100 gon | 90 ° |
| 1,000 gon | 900 ° |
Other angle conversions
How to convert gradians to degrees
Multiply the number of gradians by 0.9 to get degrees: ° = gon × 0.9.
Example: 5 gon = 4.5 °.
The gradian (gon) and the degree (°) are both units of angle. Need the opposite direction? Use the ° to gon converter.
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Metric and imperial units
The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.
Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.
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Frequently asked questions
How many degrees are in a gradian?
1 gradian = 0.9 degrees.
How do I convert gradians to degrees?
Use the formula ° = gon × 0.9. For example, 5 gon = 4.5 °.
How do I convert degrees back to gradians?
1 degree = 1.1111111 gradians. Use the ° to gon converter linked on this page.
Are these conversions exact?
Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.