gradian to radian
Convert gradian (gon) to radian (rad). Use an editable angle converter, conversion formula, and reference table.
1 gon = 0.01570796327 rad
Conversion formula
One gradian equals 0.01570796327 radian. Multiply your value in gradian by this factor to get radian. For the reverse conversion, divide by the same factor.
Worked example
To convert 5 gradian:5 × 0.01570796327 = 0.07853981634 rad
Conversion table
| gradian (gon) | radian (rad) |
|---|---|
| 0.01 | 0.0001570796327 |
| 0.1 | 0.001570796327 |
| 1 | 0.01570796327 |
| 2 | 0.03141592654 |
| 5 | 0.07853981634 |
| 10 | 0.1570796327 |
| 25 | 0.3926990817 |
| 50 | 0.7853981634 |
| 100 | 1.570796327 |
| 1000 | 15.70796327 |
About these measurements
An angle describes rotation between directions.
The base reference used here is the radian. One gradian is 0.01570796327 base units; one radian is 1 base units.
Important distinctions
A full turn is 360 degrees or 2π radians. Signed angles are permitted.
Precision
The converter uses stored conversion factors and floating-point arithmetic. Results display up to ten significant digits, switching to scientific notation for very small or large values. Keep the precision of your original measurement when reporting results.
Common questions
How do I convert gon to rad?
Multiply the quantity in gon by 0.01570796327. You can also type the value into the converter above.
Can I reverse the conversion?
Yes. Use the swap button or open the radian to gradian converter.
Reference
NIST Guide to the SI — conversion factors and prefix conventions. SI prefixes scale units by powers of ten; the dimension-specific notes above describe the assumptions used on this page.
