Degrees to Gradians
A degree divides a full circle into 360 parts, the everyday unit for angles, compass headings, and geographic coordinates. A gradian divides a full circle into 400 parts, used in some surveying and engineering contexts, especially in Europe. 1 deg equals ≈1.11111 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 = deg × ≈1.11111
deg = grad × 0.9
Worked example: 5 deg × ≈1.11111 = ≈5.55556 grad.
Conversion table
| Degree (deg) | Gradian (grad) |
|---|---|
| 1 deg | ≈1.11111 grad |
| 2 deg | ≈2.22222 grad |
| 3 deg | ≈3.33333 grad |
| 5 deg | ≈5.55556 grad |
| 10 deg | ≈11.1111 grad |
| 20 deg | ≈22.2222 grad |
| 25 deg | ≈27.7778 grad |
| 50 deg | ≈55.5556 grad |
| 100 deg | ≈111.111 grad |
| 250 deg | ≈277.778 grad |
| 500 deg | ≈555.556 grad |
| 1,000 deg | ≈1,111.11 grad |
Frequently asked
- How many Gradians in a degree?
- 1 deg equals ≈1.11111 grad.
- How do I convert Degrees to Gradians?
- Multiply the value in deg by ≈1.11111 to get grad. The converter above does this instantly as you type.
- Is the conversion exact?
- Yes — Degree 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.