UnitConDegrees to Gradians Converter
Convert degrees to gradians for surveying and European engineering contexts. The gradian (also called gon or grad) divides the circle into 400 parts, giving surveyors a convenient right angle of exactly 100 gradians.
Formula
Multiply degrees by 10/9 (approximately 1.11111) to get gradians. To reverse, multiply gradians by 9/10 to get degrees.
Quick reference
| Degree (°) | Gradian (gon) |
|---|---|
| 9 | 10 |
| 18 | 20 |
| 45 | 50 |
| 90 | 100 |
| 135 | 150 |
| 180 | 200 |
| 225 | 250 |
| 270 | 300 |
| 315 | 350 |
| 360 | 400 |
About these units
Degree
The degree (1/360 circle) is the oldest angular measure, used in navigation and astronomy for millennia. It originates in Babylonian base-60 mathematics.
Gradian
The gradian was introduced during the French Revolution as part of the metric system's attempt to decimalize all measurements. A right angle is exactly 100 gradians, making quarter-circle and slope calculations straightforward for surveyors.
Frequently asked questions
90 × 10/9 = 100 gradians — a right angle.
360 × 10/9 = 400 gradians — a full circle.
Despite their decimal advantage for right angles, gradians never displaced degrees in most engineering fields. Only land surveying in some European countries adopted them consistently.