Degree to Gradian (gon) Converter
1 degree is about 1.111111111 gradians. Convert degrees (°) to gradians (grad) below: type a value and the result updates as you type.
° to grad calculator
Result
Degree to Gradian (gon) conversion
1 ° ≈ 1.111111111 gradone degree in gradians
1 grad = 0.9 °one gradian in degrees
Degree (°): Exactly π/180 radians (1/360 of a full turn).
Gradian (gon) (grad): Exactly 1/400 of a full turn.
Source:Degree: SI Brochure, 9th edition (BIPM, 2019); Gradian (gon): NIST Special Publication 811 (2008), Appendix B.8
How to convert degrees to gradians
To convert degrees to gradians, multiply the number of degrees by about 1.111111111.
Formula
grad = ° × 1.111111111
The factor is rounded here. The calculator uses the exact value.
Examples
- 5 ° = 5 × 1.111111111 ≈ 5.555555556 grad
- 25 ° = 25 × 1.111111111 ≈ 27.77777778 grad
- 100 ° = 100 × 1.111111111 ≈ 111.1111111 grad
Degree to Gradian (gon) conversion table
| Degree (°) | Gradian (gon) (grad) |
|---|---|
| 0.1 ° | 0.1111111111 grad |
| 0.5 ° | 0.5555555556 grad |
| 1 ° | 1.111111111 grad |
| 2 ° | 2.222222222 grad |
| 3 ° | 3.333333333 grad |
| 5 ° | 5.555555556 grad |
| 10 ° | 11.11111111 grad |
| 20 ° | 22.22222222 grad |
| 25 ° | 27.77777778 grad |
| 50 ° | 55.55555556 grad |
| 100 ° | 111.1111111 grad |
| 250 ° | 277.7777778 grad |
| 500 ° | 555.5555556 grad |
| 1000 ° | 1111.111111 grad |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- How many gradians are in one degree?
- One degree is about 1.111111111 gradians.
- How do I convert gradians to degrees?
- To convert gradians to degrees, multiply the number of gradians by 0.9. The formula is ° = grad × 0.9.
- Is this conversion exact?
- Yes. Both units have exact definitions, but the factor has more decimal places than can be shown, so displayed results are rounded. The calculator works with 50 significant digits before rounding.
- Which is larger, a degree or a gradian?
- A degree is about 1.111111111 times larger than a gradian. In other words, a gradian is 0.9 of a degree.