Radians to Gradians Converter rad → gon
1 radian (rad) = 63.66197724 gradians (gon). Type a value below — the conversion happens instantly, entirely on your device.
1 rad = 63.66197724 gon
1 radians = 63.661977 gradians
1 × 63.662 = 63.661977
1 rad equals 63.662 gon, so multiplying by 63.662 converts the value. The result describes the exact same quantity — only the measuring stick changes.
How to convert radians to gradians
gradians = radians × 63.66197724 — multiply the radian value by 63.662.
Example: 10 rad = 636.62 gon.
To convert the other way: radians = gradians ÷ 63.66197724
Radians to Gradians conversion table
| Radians (rad) | Gradians (gon) |
|---|---|
| 0.1 | 6.3661977 |
| 0.25 | 15.915494 |
| 0.5 | 31.830989 |
| 1 | 63.661977 |
| 2 | 127.32395 |
| 3 | 190.98593 |
| 4 | 254.64791 |
| 5 | 318.30989 |
| 6 | 381.97186 |
| 7 | 445.63384 |
| 8 | 509.29582 |
| 9 | 572.9578 |
| 10 | 636.61977 |
| 15 | 954.92966 |
| 20 | 1273.2395 |
| 25 | 1591.5494 |
| 30 | 1909.8593 |
| 40 | 2546.4791 |
| 50 | 3183.0989 |
| 75 | 4774.6483 |
| 100 | 6366.1977 |
| 250 | 15,915.494 |
| 500 | 31,830.989 |
| 1000 | 63,661.977 |
About the units
What is a radian?
The SI angle unit — the angle subtended when the arc length equals the radius. A full circle is 2π radians, so 1 rad ≈ 57.2958°. Used throughout mathematics and physics.
What is a gradian?
Also called the gon or grad — 400 gradians make a full circle, so a right angle is exactly 100 gon. Used in surveying and some European engineering.
Frequently asked questions
How many gradians are in 1 radian?
1 radian (rad) = 63.66197724 gradians (gon).
What is the formula to convert radians to gradians?
gradians = radians × 63.66197724 — multiply the radian value by 63.662.
How do I convert rad to gon without a calculator?
Multiply by 63.7 for a close estimate. Exact factor: 1 rad = 63.66197724 gon.
Is this rad-to-gon converter accurate and private?
Yes. It uses the exact internationally defined conversion factors and computes results locally in your browser — your input is never sent to a server, and the page keeps working offline.