How Many Degrees in a Gradian?
Quick Answer
There are 0.9 degrees in one gradian.
1 gradian = 360°/400 = 0.9°
Understanding the Conversion
One gradian (grad) equals 0.9 degrees or 1/400 of a full circle. Since 360° ÷ 400 = 0.9°. Gradians are used in some European surveying equipment and are available on scientific calculators as the 'GRAD' mode.
Formula
1 gradian = 360°/400 = 0.9°
Common Examples
| Description | Value |
|---|---|
| 1 gradian | 0.9 degrees |
| 100 gradians (right angle) | 90 degrees |
| Slope measurement: 1% = ? | ≈0.573 degrees ≈ 0.637 gradians |
Quick Reference Table
Use this table for quick conversions between gradian and degrees:
| gradian | degrees |
|---|---|
| 1 | 0.900 |
| 2 | 1.8 |
| 5 | 4.5 |
| 10 | 9 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
Frequently Asked Questions
How Many Degrees in a Gradian?
There are 0.9 degrees in one gradian. One gradian (grad) equals 0.9 degrees or 1/400 of a full circle. Since 360° ÷ 400 = 0.9°. Gradians are used in some European surveying equipment and are available on scientific calculators as the 'GRAD' mode.
What is the formula to convert gradian to degrees?
The formula is: 1 gradian = 360°/400 = 0.9°. To convert, multiply the number of gradians by 0.900 to get the equivalent in degrees.
How do I convert degrees to gradian?
To convert degrees to gradian, divide the number of degrees by 0.900. For example, 4.5 degrees equals 5 gradians.