📏 Radians to Gradians Converter
Convert radians (rad) to gradians (gon) instantly, with the formula, a worked example and a conversion table.
Quick answer: 1 radian (rad) = 63.661977 gradians (gon). Formula: gon = rad × 63.661977.
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Radians to Gradians Converter inputs
Result
Radians to Gradians conversion table
| Radians (rad) | Gradians (gon) |
|---|---|
| 0.1 rad | 6.3661977 gon |
| 0.5 rad | 31.830989 gon |
| 1 rad | 63.661977 gon |
| 2 rad | 127.32395 gon |
| 3 rad | 190.98593 gon |
| 5 rad | 318.30989 gon |
| 10 rad | 636.61977 gon |
| 20 rad | 1,273.2395 gon |
| 25 rad | 1,591.5494 gon |
| 50 rad | 3,183.0989 gon |
| 100 rad | 6,366.1977 gon |
| 1,000 rad | 63,661.977 gon |
Other angle conversions
How to convert radians to gradians
Multiply the number of radians by 63.661977 to get gradians: gon = rad × 63.661977.
Example: 5 rad = 318.30989 gon.
The radian (rad) and the gradian (gon) are both units of angle. Need the opposite direction? Use the gon to rad 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 gradians are in a radian?
1 radian = 63.661977 gradians.
How do I convert radians to gradians?
Use the formula gon = rad × 63.661977. For example, 5 rad = 318.30989 gon.
How do I convert gradians back to radians?
1 gradian = 0.015707963 radians. Use the gon to rad 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.