Convert Gradian to Degree
Live bidirectional calculator for Gradians (grad) and Degrees (°) with verified formula and conversion charts.
Angle7 units
How the Calculation Works (Linear Scaling)
Since 1 Degree = 1.111111 Gradians, divide the value in Gradians by 1.111111.
Gradian to Degree Conversion Table
Precomputed values for quick reference and printing.
| Gradian | Degree |
|---|---|
| 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 ° |
| 15 grad | 13.5 ° |
| 20 grad | 18 ° |
| 25 grad | 22.5 ° |
| 30 grad | 27 ° |
| 40 grad | 36 ° |
| 50 grad | 45 ° |
| 75 grad | 67.5 ° |
| 100 grad | 90 ° |
| Degree | Gradian |
|---|---|
| 1 ° | 1.1111 grad |
| 2 ° | 2.2222 grad |
| 3 ° | 3.3333 grad |
| 4 ° | 4.4444 grad |
| 5 ° | 5.5556 grad |
| 6 ° | 6.6667 grad |
| 7 ° | 7.7778 grad |
| 8 ° | 8.8889 grad |
| 9 ° | 10 grad |
| 10 ° | 11.1111 grad |
| 15 ° | 16.6667 grad |
| 20 ° | 22.2222 grad |
| 25 ° | 27.7778 grad |
| 30 ° | 33.3333 grad |
| 40 ° | 44.4444 grad |
| 50 ° | 55.5556 grad |
| 75 ° | 83.3333 grad |
| 100 ° | 111.1111 grad |
📌 Standard Benchmark Reference Values
Metric decimal quadrant angle system.
Exact RatioAbout Gradian (grad)
A decimal unit of plane angle equal to 1/400 of a full turn or 1/100 of a right angle (π / 200 radians).
History: Introduced during the French Revolution as the metric decimal angle system ("gon").
Common Uses: Land surveying, civil engineering in some European nations, artillery aiming.
About Degree (°)
A unit of plane angular measurement equal to 1/360 of a full turn (π / 180 radians).
History: Traced to ancient Babylonian astronomers dividing the celestial circle into 360 days/degrees.
Common Uses: Everyday compass geometry, map coordinates (latitude/longitude), navigation.
❓ Frequently Asked Questions
How many Degrees are in 1 Gradian?
There are exactly 0.9 Degrees in 1 Gradian (1 grad = 0.9 °).
What is the formula to convert Gradian to Degree?
The formula is: Degree = Gradian / 1.111111. Since 1 Degree = 1.111111 Gradians, divide the value in Gradians by 1.111111.
How do I convert 1 grad to ° manually?
To convert 1 grad to °: apply the formula Degree = Gradian / 1.111111. Substituting gives: 1 / 1.111111 = 0.9 °.