degrees to gradians
Convert degree to gradian — instant, free, with the formula shown.
1 °=1.11111111 gon
How to convert degree to gradian
To convert degree to gradian, multiply by 1.11111111:
gon = ° × 1.11111111
For example, 10 ° × 1.111111 = 11.11111111 gon.
° to gon conversion table
| degrees (°) | gradians (gon) |
|---|---|
| 1 ° | 1.11111111 gon |
| 2 ° | 2.22222222 gon |
| 5 ° | 5.55555556 gon |
| 10 ° | 11.11111111 gon |
| 25 ° | 27.77777778 gon |
| 50 ° | 55.55555556 gon |
| 100 ° | 111.11111111 gon |
| 250 ° | 277.77777778 gon |
| 500 ° | 555.55555556 gon |
| 1000 ° | 1111.11111111 gon |
Other degree conversions
Convert to gradian from another unit
° to gon — frequently asked
How many gradians are in 1 degree?
1 degree = 1.11111111 gradians (° × 1.111111 = gon).
What is the formula to convert degree to gradian?
Multiply your degree value by 1.11111111 to get gradian.
How do I convert 10 degrees to gradians?
10 ° = 11.11111111 gon. For 100 ° the answer is 111.11111111 gon. Use the calculator on this page for any other value.
When to convert degree to gradian
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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