Gradian (grad)
A gradian (gon) divides a right angle into 100 equal parts — 400 gradians equal a full circle.
Gradians appear in some European surveying tools and military angle notation.
Gradian to Degree
Convert gradian to degree instantly. Type in either field — results update live.
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Angle Gradian Degree
1 gradian = 0.9 degrees
Unit
Unit
Conversion table
Selected grad values converted to ° using the exact factor from this tool.
| grad | ° |
|---|---|
| 0.01 | 0.009 |
| 0.1 | 0.09 |
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 5 | 4.5 |
| 10 | 9 |
| 20 | 18 |
| 50 | 45 |
| 100 | 90 |
| 1,000 | 900 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 grad = 0.9 °
1 ° = 1.1111111111 grad
To convert gradian to degree, multiply by 0.9.
To convert degree to gradian, multiply by 1.1111111111.
Example: convert 10 grad to °
10 × 0.9 = 9 °
About these units
Short background on the units used in this conversion.
Degree (°)
A degree is 1/360 of a full circle — the everyday unit for angles, latitude, and compass bearings.
Degrees measure roof pitch, camera field of view, map coordinates, and classroom geometry.
Frequently asked questions
How many degrees are in one gradian?
One gradian equals 0.9 degrees. Multiply your gradians value by 0.9 to convert to degrees.
What is the conversion formula?
° = grad × 0.9The reverse is
grad = ° × 1.1111111111, using the same exact factors as this converter.Is this Gradian to Degree converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.