Convert degrees to gradians
Convert degrees to gradians by entering a value below.
How to Convert Degrees to Gradians
The degree and gradian are both units of angle. 1 degree equals 1.1111111111 gradians. This means to convert degrees to gradians, you multiply by 1.1111111111.
Formula
Step-by-Step Example
Convert 5 ° to gradians:
We need to convert degrees to gradians
Since 1 ° = 1.1111111111 grad, multiply by 1.1111111111
5 × 1.1111111111 = 5.5555555556
5 ° = 5.5555555556 grad
Degree to Gradian Conversion Table
Quick reference table for common degree to gradian conversions. Click any value for detailed calculation.
| Degrees (°) | Gradians (grad) |
|---|---|
| 1 ° | 1.1111111111 grad |
| 2 ° | 2.2222222222 grad |
| 5 ° | 5.5555555556 grad |
| 10 ° | 11.111111111 grad |
| 15 ° | 16.666666667 grad |
| 20 ° | 22.222222222 grad |
| 25 ° | 27.777777778 grad |
| 50 ° | 55.555555556 grad |
| 100 ° | 111.11111111 grad |
About These Units
Degree (°)
A degree (°) is 1/360 of a full rotation, the most widely used angle unit. Degrees measure geographic coordinates, temperature, slopes, and rotations. A right angle is 90°, straight angle is 180°, full circle is 360°. Each degree contains 60 arcminutes.
Gradian (grad)
A gradian (grad, gon, or grade) is 1/400 of a full rotation, making a right angle exactly 100 gradians. Gradians simplify surveying calculations and are used in some European countries. Also called "metric degrees." A full circle is 400 gradians.
Frequently Asked Questions
How do I convert degrees to gradians?
To convert degrees to gradians, multiply the value by 1.1111111111. For example, 10 ° = 11.111111111 grad.
How many gradians are in 1 degree?
1 degree equals 1.1111111111 gradians.
What is the formula for degrees to gradians?
The formula is: grad = ° × 1.1111111111.