Radians to Gradians
The radian is the SI unit of angle, defined by an arc length equal to the circle's radius; a full circle is 2π radians. A gradian divides a full circle into 400 parts, used in some surveying and engineering contexts, especially in Europe. 1 rad equals ≈63.662 grad, so converting between them is a matter of multiplying by that fixed factor — type any value into the converter below and both sides update instantly as you type.
Both units belong to angle, measured here against angle's base unit (rad) — every other angle unit on this site converts through that same reference point, which is why the table below can also be read as a quick cross-check against nearby values.
Formula
grad = rad × ≈63.662
rad = grad × ≈0.015708
Worked example: 5 rad × ≈63.662 = ≈318.31 grad.
Conversion table
| Radian (rad) | Gradian (grad) |
|---|---|
| 1 rad | ≈63.662 grad |
| 2 rad | ≈127.324 grad |
| 3 rad | ≈190.986 grad |
| 5 rad | ≈318.31 grad |
| 10 rad | ≈636.62 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 |
| 250 rad | ≈15,915.5 grad |
| 500 rad | ≈31,831 grad |
| 1,000 rad | ≈63,662 grad |
Frequently asked
- How many Gradians in a radian?
- 1 rad equals ≈63.662 grad.
- How do I convert Radians to Gradians?
- Multiply the value in rad by ≈63.662 to get grad. The converter above does this instantly as you type.
- Is the conversion exact?
- Yes — Radian and Gradian are both defined by a fixed conversion factor to angle's base unit (rad), so the result shown is exact to the precision displayed, not an approximation.