Gradian (gon) to Degree Converter
1 gradian is exactly 0.9 degrees. Convert gradians (grad) to degrees (°) below: type a value and the result updates as you type.
grad to ° calculator
Result
Gradian (gon) to Degree conversion
1 grad = 0.9 °one gradian in degrees
1 ° ≈ 1.111111111 gradone degree in gradians
Gradian (gon) (grad): Exactly 1/400 of a full turn.
Degree (°): Exactly π/180 radians (1/360 of a full turn).
Source:Gradian (gon): NIST Special Publication 811 (2008), Appendix B.8; Degree: SI Brochure, 9th edition (BIPM, 2019)
How to convert gradians to degrees
To convert gradians to degrees, multiply the number of gradians by 0.9.
Formula
° = grad × 0.9
Examples
- 5 grad = 5 × 0.9 = 4.5 °
- 25 grad = 25 × 0.9 = 22.5 °
- 100 grad = 100 × 0.9 = 90 °
Gradian (gon) to Degree conversion table
| Gradian (gon) (grad) | Degree (°) |
|---|---|
| 0.1 grad | 0.09 ° |
| 0.5 grad | 0.45 ° |
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 3 grad | 2.7 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 20 grad | 18 ° |
| 25 grad | 22.5 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
| 250 grad | 225 ° |
| 500 grad | 450 ° |
| 1000 grad | 900 ° |
Values rounded to 10 significant digits where needed.
Frequently asked questions
- How many degrees are in one gradian?
- One gradian is exactly 0.9 degrees.
- How do I convert degrees to gradians?
- To convert degrees to gradians, multiply the number of degrees by about 1.111111111. The formula is grad = ° × 1.111111111.
- Is this conversion exact?
- Yes. Both units have exact definitions and the factor 0.9 is exact. Displayed results are only rounded when they have many decimal places.
- Which is larger, a gradian or a degree?
- A degree is about 1.111111111 times larger than a gradian. In other words, a gradian is 0.9 of a degree.