Gradians to Degrees
A gradian divides a full circle into 400 parts, used in some surveying and engineering contexts, especially in Europe. A degree divides a full circle into 360 parts, the everyday unit for angles, compass headings, and geographic coordinates. 1 grad equals 0.9 deg, 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
deg = grad × 0.9
grad = deg × ≈1.11111
Worked example: 5 grad × 0.9 = 4.5 deg.
Conversion table
| Gradian (grad) | Degree (deg) |
|---|---|
| 1 grad | 0.9 deg |
| 2 grad | 1.8 deg |
| 3 grad | 2.7 deg |
| 5 grad | 4.5 deg |
| 10 grad | 9 deg |
| 20 grad | 18 deg |
| 25 grad | 22.5 deg |
| 50 grad | 45 deg |
| 100 grad | 90 deg |
| 250 grad | 225 deg |
| 500 grad | 450 deg |
| 1,000 grad | 900 deg |
Frequently asked
- How many Degrees in a gradian?
- 1 grad equals 0.9 deg.
- How do I convert Gradians to Degrees?
- Multiply the value in grad by 0.9 to get deg. The converter above does this instantly as you type.
- Is the conversion exact?
- Yes — Gradian and Degree 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.