Convert Degrees to Gradians
° to grad · angle conversion
What are degrees and gradians?
A degree is 1/360 of a full circle, the most common everyday angle unit. A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. For reference: a right angle is 90° (π/2 radians), and a full turn is 360° (2π radians).
How to convert degrees to gradians
1 ° = 1.11111 grad. To convert, multiply the number of degrees by 1.11111. For example, 5 ° = 5.55556 grad, and 20 ° = 22.2222 grad. To go the other way, multiply gradians by 0.9 (since 1 grad = 0.9 °).
Degrees to Gradians conversion table
| Degrees (°) | Gradians (grad) |
|---|---|
| 1 | 1.11111 |
| 15 | 16.6667 |
| 30 | 33.3333 |
| 45 | 50 |
| 90 | 100 |
| 180 | 200 |
| 360 | 400 |
FAQ
What is 1 ° in grad?
1 ° = 1.11111 grad. To convert any amount, multiply the number of degrees by 1.11111.
How do I convert gradians back to degrees?
Go the other way: 1 grad = 0.9 °, so multiply gradians by 0.9 to get degrees.
Is a degree bigger than a gradian?
Yes — 1 ° is the larger unit, equal to 1.11111 grad.
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.