Convert Gradian to Degree
Use this free converter to change gradians (grad) into degrees (°). Gradian and degree both measure angle. As a quick reference, 1 grad equals 0.9 °, and 1 ° equals 1.1111111 grad.
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Degree (°)
0.9
1 grad = 0.9 °
Angle conversion table
| Gradian | Degree |
|---|---|
| 0.01 | 0.009 |
| 0.1 | 0.09 |
| 0.5 | 0.45 |
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 5 | 4.5 |
| 10 | 9 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
| 1,000 | 900 |
How to convert Gradian to Degree
Multiply the gradian value by 0.9 to get degrees.
- Enter the number of gradians you want to convert.
- The converter instantly shows the equivalent value in degrees.
- Worked example: 15 grad × 0.9 = 13.5 °.
- Use the swap button to reverse the conversion (degree to gradian).
About these units
Gradian (grad)
- Definition
- A gradian (grad) divides a right angle into 100 parts, so a full circle is 400 gradians.
- History
- It was introduced in France around the time of the metric system to decimalise angles.
- Current use
- Gradians are used in some surveying and civil-engineering contexts.
Degree (°)
- Definition
- A degree (°) is an angle equal to 1/360 of a full turn.
- History
- The 360-degree circle descends from Babylonian astronomy and its base-60 number system.
- Current use
- Degrees measure angles in navigation, geometry, and everyday use.
Frequently asked questions
How many degrees are in a gradian?
There are 0.9 ° in 1 grad. To convert, multiply the number of gradians by 0.9.
How do I convert gradians to degrees?
Multiply the gradian value by 0.9 to get degrees. For example, 10 grad = 9 °.
Is this gradian-to-degree converter free?
Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.
Convert Gradian to other angle units
| Unit | 1 Gradian equals |
|---|---|
| Degree (°) | 0.9 ° |
| Radian (rad) | 0.015707963 rad |
| Arcminute (') | 54 ' |
| Arcsecond (") | 3240 " |
| Turn (turn) | 0.0025 turn |