gradians to degrees
Convert gradian to degree — instant, free, with the formula shown.
1 gon=0.9 °
How to convert gradian to degree
To convert gradian to degree, multiply by 0.9:
° = gon × 0.9
For example, 10 gon × 0.9 = 9 °.
gon to ° conversion table
| gradians (gon) | degrees (°) |
|---|---|
| 1 gon | 0.9 ° |
| 2 gon | 1.8 ° |
| 5 gon | 4.5 ° |
| 10 gon | 9 ° |
| 25 gon | 22.5 ° |
| 50 gon | 45 ° |
| 100 gon | 90 ° |
| 250 gon | 225 ° |
| 500 gon | 450 ° |
| 1000 gon | 900 ° |
Other gradian conversions
Convert to degree from another unit
gon to ° — frequently asked
How many degrees are in 1 gradian?
1 gradian = 0.9 degrees (gon × 0.9 = °).
What is the formula to convert gradian to degree?
Multiply your gradian value by 0.9 to get degree.
How do I convert 10 gradians to degrees?
10 gon = 9 °. For 100 gon the answer is 90 °. Use the calculator on this page for any other value.
When to convert gradian to degree
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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