Convert gradians to degrees
Convert gradians to degrees by entering a value below.
How to Convert Gradians to Degrees
The gradian and degree are both units of angle. 1 degree equals 1.1111111111 gradians. This means to convert gradians to degrees, you divide by 1.1111111111.
Formula
Step-by-Step Example
Convert 5 grad to degrees:
We need to convert gradians to degrees
Since 1 ° = 1.1111111111 grad, divide by 1.1111111111
5 ÷ 1.1111111111 = 4.5
5 grad = 4.5 °
Gradian to Degree Conversion Table
Quick reference table for common gradian to degree conversions. Click any value for detailed calculation.
| Gradians (grad) | Degrees (°) |
|---|---|
| 1 grad | 0.9 ° |
| 2 grad | 1.8 ° |
| 5 grad | 4.5 ° |
| 10 grad | 9 ° |
| 15 grad | 13.5 ° |
| 20 grad | 18 ° |
| 25 grad | 22.5 ° |
| 50 grad | 45 ° |
| 100 grad | 90 ° |
About These Units
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.
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.
Frequently Asked Questions
How do I convert gradians to degrees?
To convert gradians to degrees, divide the value by 1.1111111111. For example, 10 grad = 9 °.
How many degrees are in 1 gradian?
1 gradian equals 0.9 degrees.
What is the formula for gradians to degrees?
The formula is: ° = grad ÷ 1.1111111111.