Grads to Degrees Converter
Convert Grads to Degrees
Quick Conversions
How to Convert Grads to Degrees
To convert from grads to degrees, you multiply the angle in grads by 9/10. For more information about grads as a unit of measurement, visit our grads page.
Formula
Degrees = Grads × (9 / 10)
or
° = gon × 0.9
Step-by-step process
- Take the angle in grads.
- Multiply it by 0.9 (or 9/10).
- The result is the equivalent angle in degrees.
Examples
- 50 gon = 50 × 0.9 = 45°
- 100 gon = 100 × 0.9 = 90°
- 200 gon = 200 × 0.9 = 180°
- 400 gon = 400 × 0.9 = 360°
When to Convert Grads to Degrees
This conversion is useful when working with surveying data or in some engineering fields and you need to convert to the more common unit of degrees.
General Use
Most people are more familiar with degrees, so converting grads to degrees can make angles easier to understand.
Interoperability
When working with data from different sources, it may be necessary to convert grads to degrees to maintain consistency.
Common Grads to Degrees Conversions
Here is a table of common conversions for quick reference:
| Grads (gon) | Degrees (°) | Grads (gon) | Degrees (°) |
|---|---|---|---|
| 10 | 9 | 150 | 135 |
| 20 | 18 | 200 | 180 |
| 30 | 27 | 250 | 225 |
| 40 | 36 | 300 | 270 |
| 50 | 45 | 350 | 315 |
| 60 | 54 | 400 | 360 |
| 70 | 63 | 500 | 450 |
| 80 | 72 | 1000 | 900 |
| 90 | 81 | ||
| 100 | 90 |
Frequently Asked Questions
What is a grad?
A grad, also known as a gon, is a unit of angle equal to 1/400 of a full circle. A right angle is 100 grads.
How do I convert degrees to grads?
To convert from degrees to grads, you multiply the angle in degrees by 10/9. For example, 90° is equal to 90 * (10/9) = 100 gon.