Degrees to Grads Converter
Convert Degrees to Grads
Quick Conversions
How to Convert Degrees to Grads
To convert from degrees to grads, you multiply the angle in degrees by 10/9. For more information about degrees as a unit of measurement, visit our degrees page.
Formula
Grads = Degrees × (10 / 9)
or
gon = ° × 1.11111
Step-by-step process
- Take the angle in degrees.
- Multiply it by 1.11111 (or 10/9).
- The result is the equivalent angle in grads.
Examples
- 30° = 30 × (10 / 9) = 33.3333 gon
- 45° = 45 × (10 / 9) = 50 gon
- 90° = 90 × (10 / 9) = 100 gon
- 180° = 180 × (10 / 9) = 200 gon
When to Convert Degrees to Grads
This conversion is primarily used in surveying and some civil engineering applications.
Surveying
Grads are used in some countries for surveying because the right angle is 100 gon, which can simplify calculations.
Civil Engineering
Some civil engineering fields, particularly in Europe, use grads for angular measurements.
Common Degrees to Grads Conversions
Here is a table of common conversions for quick reference:
| Degrees (°) | Grads (gon) | Degrees (°) | Grads (gon) |
|---|---|---|---|
| 15 | 16.6667 | 150 | 166.6667 |
| 30 | 33.3333 | 180 | 200 |
| 45 | 50 | 210 | 233.3333 |
| 60 | 66.6667 | 240 | 266.6667 |
| 75 | 83.3333 | 270 | 300 |
| 90 | 100 | 300 | 333.3333 |
| 105 | 116.6667 | 330 | 366.6667 |
| 120 | 133.3333 | 360 | 400 |
| 135 | 150 |
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 grads to degrees?
To convert from grads to degrees, you multiply the angle in grads by 9/10. For example, 100 gon is equal to 100 * (9/10) = 90°.