Radians to Gradians
Convert radians to gradians instantly. 1 rad = 63.6619772368 grad. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert radians to gradians
To convert radians to gradians, multiply by 63.6619772368. The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.
grad = rad × 63.6619772368
Radians to Gradians conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Radians | Gradians |
|---|---|
| 1 rad | 63.661977 grad |
| 2 rad | 127.323954 grad |
| 3 rad | 190.985932 grad |
| 5 rad | 318.309886 grad |
| 10 rad | 636.619772 grad |
| 20 rad | 1,273.24 grad |
| 25 rad | 1,591.55 grad |
| 50 rad | 3,183.1 grad |
| 100 rad | 6,366.2 grad |
| 500 rad | 31,830.99 grad |
| 1,000 rad | 63,661.98 grad |
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
What is a gradian?
A 400th of a circle, used in some surveying.
The formula
grad = rad × 63.6619772368
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Radians to Gradians
- Type the number of radians you want to convert.
- Read the result in gradians straight away — there is no button to press.
- Check the table below for the values that come up most often, or reverse the conversion with the linked gradians to radians page.
Radians to Gradians — frequently asked questions
How many gradians are in a radian?
One radian equals 63.6619772368 grad. grad = rad × 63.6619772368
What is the formula to convert radians to gradians?
The formula is grad = rad × 63.6619772368. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert gradians back to radians?
Divide instead of multiplying: one gradian is 0.0157079633 rad. The reverse converter is linked in the related tools list.
Is this conversion exact?
Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.
Is this radians to gradians free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
What people search for
This page answers each of these searches. They are the exact phrases visitors use to find the radians to gradians.
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error