Gradian to Radian Converter
Convert gradians to radians with this free angle converter. The exact relationship used on this page is 1 gradian = 0.0157079632679 radians. Type any number — the result updates instantly, works on phones and desktops, and is ready to copy into homework, a spec sheet, or a shopping list.
Formula: Radian = Gradian × 0.0157079632679
How to convert gradians to radians
- Enter the value in gradians in the converter.
- Read the equivalent amount in radians.
- Use the swap link if you need radian to gradian instead.
- Check the table for common values without typing.
Worked examples
- 1 gon = 0.01570796327 rad
- 5 gon = 0.07853981634 rad
- 10 gon = 0.1570796327 rad
- 25 gon = 0.3926990817 rad
Conversion table
Common gradians values converted to radians.
| gon | rad |
|---|---|
| 1 | 0.01570796327 |
| 2 | 0.03141592654 |
| 3 | 0.0471238898 |
| 4 | 0.06283185307 |
| 5 | 0.07853981634 |
| 6 | 0.09424777961 |
| 7 | 0.1099557429 |
| 8 | 0.1256637061 |
| 9 | 0.1413716694 |
| 10 | 0.1570796327 |
| 20 | 0.3141592654 |
| 50 | 0.7853981634 |
| 100 | 1.570796327 |
| 250 | 3.926990817 |
| 500 | 7.853981634 |
| 1,000 | 15.70796327 |
About this conversion
Gradian (gon) and Radian (rad) are both angle units. Angles appear in geometry, navigation, CGI, and engineering. Bookmark this URL when you convert gradians to radians often, then explore related pairs in the same category if you need a different target unit.
Need the other direction? Open the radian to gradian converter.
FAQ
How many radians are in 1 gradian?+
1 gradian equals 0.0157079632679 radians.
What is the formula to convert gradians to radians?+
Radian = Gradian × 0.0157079632679
How do I convert gradians to radians by hand?+
Multiply the gradian value by 0.0157079632679. Example: 10 gradians × 0.0157079632679 = 0.157079632679 radians.
Is this gon to rad converter accurate?+
Yes. Linear conversions use internationally agreed factors relative to SI. Temperature and inverse fuel units use the standard offset or reciprocal formulas, not a guessed scale factor.