1 grad = 0.9 ° (gradian → degree)
1 grad = 0.9 °
1 gradian equals 0.9 degrees. To convert gradians to degrees, multiply the gradian value by 0.9. For quick reference: 1 grad = 0.9 °, 5 grad = 4.5 °, 10 grad = 9 °, 100 grad = 90 °.
Degrees = Gradians × 0.9Start with your value in gradians.
Multiply the gradian value by 0.9. This is the exact conversion factor from gradians to degrees.
The product is your value in degrees. For example, 5 grad × 0.9 = 4.5 °.
The exact factor from gradians to degrees is 0.9.
Degrees = Gradians × 0.9
Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.
| Gradians (grad) | Degrees (°) |
|---|---|
| 0.1 grad | 0.09 ° |
| 0.25 grad | 0.225 ° |
| 0.5 grad | 0.45 ° |
| 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 ° |
| 11 grad | 9.9 ° |
| 12 grad | 10.8 ° |
| 13 grad | 11.7 ° |
| 14 grad | 12.6 ° |
| 15 grad | 13.5 ° |
| 16 grad | 14.4 ° |
| 18 grad | 16.2 ° |
| 20 grad | 18 ° |
| 22 grad | 19.8 ° |
| 24 grad | 21.6 ° |
| 25 grad | 22.5 ° |
| 28 grad | 25.2 ° |
| 30 grad | 27 ° |
| 32 grad | 28.8 ° |
| 36 grad | 32.4 ° |
| 40 grad | 36 ° |
| 45 grad | 40.5 ° |
| 48 grad | 43.2 ° |
| 50 grad | 45 ° |
| 60 grad | 54 ° |
| 70 grad | 63 ° |
| 75 grad | 67.5 ° |
| 80 grad | 72 ° |
| 90 grad | 81 ° |
| 100 grad | 90 ° |
| 125 grad | 112.5 ° |
| 150 grad | 135 ° |
| 200 grad | 180 ° |
| 250 grad | 225 ° |
| 300 grad | 270 ° |
| 400 grad | 360 ° |
| 500 grad | 450 ° |
| 600 grad | 540 ° |
| 750 grad | 675 ° |
| 800 grad | 720 ° |
| 900 grad | 810 ° |
| 1000 grad | 900 ° |
A right angle is exactly 100 gradians. Some European surveying instruments are graduated in gradians. In degrees, that gives you: 1 grad = 0.9 °, 10 grad = 9 °, 100 grad = 90 °.
The gradian (grad), also called the gon, divides a full rotation into 400 equal parts, making a right angle exactly 100 gradians. It was introduced with the metric system for surveying and civil engineering, where its decimal relationship to a right angle simplifies calculations.
The degree (°) divides a full rotation into 360 equal parts, a convention traced to Babylonian sexagesimal astronomy. It is the everyday unit for angles in navigation, geography (latitude/longitude), construction, and general use.
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