Convert degrees to quadrants
Convert degrees to quadrants by entering a value below.
How to Convert Degrees to Quadrants
The degree and quadrant are both units of angle. By definition, 1 quadrant equals exactly 90 degrees. This means to convert degrees to quadrants, you divide by 90.
Formula
Step-by-Step Example
Convert 5 ° to quadrants:
We need to convert degrees to quadrants
Since 1 quadrant = 90 °, divide by 90
5 ÷ 90 = 0.0555555556
5 ° = 0.0555555556 quadrant
Degree to Quadrant Conversion Table
Quick reference table for common degree to quadrant conversions. Click any value for detailed calculation.
| Degrees (°) | Quadrants (quadrant) |
|---|---|
| 1 ° | 0.0111111111 quadrant |
| 2 ° | 0.0222222222 quadrant |
| 5 ° | 0.0555555556 quadrant |
| 10 ° | 0.1111111111 quadrant |
| 15 ° | 0.1666666667 quadrant |
| 20 ° | 0.2222222222 quadrant |
| 25 ° | 0.2777777778 quadrant |
| 50 ° | 0.5555555556 quadrant |
| 100 ° | 1.1111111111 quadrant |
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.
Quadrant (quadrant)
A quadrant is 1/4 of a circle or 90°, representing a right angle. Quadrants divide the coordinate plane and compass into four sections: NE, SE, SW, NW. Astronomical quadrants were historical instruments for measuring celestial angles up to 90°.
Frequently Asked Questions
How do I convert degrees to quadrants?
To convert degrees to quadrants, divide the value by 90. For example, 10 ° = 0.1111111111 quadrant.
How many quadrants are in 1 degree?
1 degree equals 0.0111111111 quadrants.
What is the formula for degrees to quadrants?
The formula is: quadrant = ° ÷ 90.