Convert Gradians to Degrees
grad to ° · angle conversion
What are gradians and degrees?
A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. A degree is 1/360 of a full circle, the most common everyday angle unit. For reference: a right angle is 90° (π/2 radians), and a full turn is 360° (2π radians).
How to convert gradians to degrees
1 grad = 0.9 °. To convert, multiply the number of gradians by 0.9. For example, 5 grad = 4.5 °, and 20 grad = 18 °. To go the other way, multiply degrees by 1.11111 (since 1 ° = 1.11111 grad).
Gradians to Degrees conversion table
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 | 0.9 |
| 15 | 13.5 |
| 30 | 27 |
| 45 | 40.5 |
| 90 | 81 |
| 180 | 162 |
| 360 | 324 |
FAQ
What is 1 grad in °?
1 grad = 0.9 °. To convert any amount, multiply the number of gradians by 0.9.
How do I convert degrees back to gradians?
Go the other way: 1 ° = 1.11111 grad, so multiply degrees by 1.11111 to get gradians.
Is a gradian bigger than a degree?
No — 1 grad is the smaller unit, equal to 0.9 ° (it takes 1.11111 grad to make one °).
Are these angle conversions exact?
They use the standard internationally-defined conversion factors. Results are rounded to six significant figures for readability, which is accurate enough for everyday and most technical use.