Gradians to Radians
Convert gradians to radians instantly. 1 grad = 0.0157079633 rad. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert gradians to radians
To convert gradians to radians, divide by 63.6619772368 (multiply by 0.0157079633). 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.
rad = grad × 0.0157079633
Gradians to Radians conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Gradians | Radians |
|---|---|
| 1 grad | 0.015708 rad |
| 2 grad | 0.031416 rad |
| 3 grad | 0.047124 rad |
| 5 grad | 0.07854 rad |
| 10 grad | 0.15708 rad |
| 20 grad | 0.314159 rad |
| 25 grad | 0.392699 rad |
| 50 grad | 0.785398 rad |
| 100 grad | 1.570796 rad |
| 500 grad | 7.853982 rad |
| 1,000 grad | 15.707963 rad |
What is a gradian?
A 400th of a circle, used in some surveying.
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
The formula
rad = grad × 0.0157079633
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 Gradians to Radians
- Type the number of gradians you want to convert.
- Read the result in radians 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 radians to gradians page.
Gradians to Radians — frequently asked questions
How many radians are in a gradian?
One gradian equals 0.0157079633 rad. rad = grad × 0.0157079633
What is the formula to convert gradians to radians?
The formula is rad = grad × 0.0157079633. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert radians back to gradians?
Divide instead of multiplying: one radian is 63.6619772368 grad. 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 gradians to radians 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 gradians to radians.
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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