Gradians to Degrees
Convert gradians (grad) to degrees (°). Type in either box; the other updates as you go.
1 gradian equals0.9 °
1 degree equals1.111111111 grad
Formula° = grad × 0.9
How to convert gradians to degrees
To convert gradians to degrees, multiply the number of gradians by 0.9.
° = grad × 0.9
Example
Convert 5 gradians to degrees:
5 grad × 0.9 = 4.5 °
Gradian to degree conversion chart
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 3 grad | 2.7 ° |
| 4 grad | 3.6 ° |
| 5 grad | 4.5 ° |
| 6 grad | 5.4 ° |
| 7 grad | 6.3 ° |
| 8 grad | 7.2 ° |
| 9 grad | 8.1 ° |
| 10 grad | 9 ° |
| 12 grad | 10.8 ° |
| 15 grad | 13.5 ° |
| 20 grad | 18 ° |
| 25 grad | 22.5 ° |
| 30 grad | 27 ° |
| 40 grad | 36 ° |
| 50 grad | 45 ° |
| 60 grad | 54 ° |
| 70 grad | 63 ° |
| 75 grad | 67.5 ° |
| 80 grad | 72 ° |
| 90 grad | 81 ° |
| 100 grad | 90 ° |
| 150 grad | 135 ° |
| 200 grad | 180 ° |
| 250 grad | 225 ° |
| 500 grad | 450 ° |
| 1,000 grad | 900 ° |
Going the other way? See the degrees to gradians chart.
About the units
Gradian (grad)
A gradian is 1/400 of a full turn, so a right angle is exactly 100 gradians. Surveyors in some countries use it.
Degree (°)
A degree is 1/360 of a full turn.
Frequently asked questions
How many degrees are in a gradian?
There are 0.9 degrees in a gradian.
How many gradians are in a degree?
There are 1.111111111 gradians in a degree.
How do you convert gradians to degrees?
To convert gradians to degrees, multiply the number of gradians by 0.9.
What is 5 gradians in degrees?
5 gradians equals 4.5 degrees.
Convert between degrees, radians, gradians, arcminutes and arcseconds. Open the angle converter to see a value in every unit at once.