Degrees to Cardinal Direction Calculator
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Reviewed by Calculator Editorial Team
This calculator converts degrees (0-360) to standard cardinal directions (N, NE, E, SE, S, SW, W, NW). It's useful for navigation, geography, and orientation tasks where you need to interpret compass bearings.
How to Use This Calculator
Using the degrees to cardinal direction calculator is simple:
- Enter the degree value in the input field (0-360)
- Click the "Calculate" button
- View the resulting cardinal direction
- Optionally, view the compass visualization
The calculator will immediately display the cardinal direction corresponding to your input degrees. The result is shown in both text and compass visualization form.
How Degrees to Cardinal Direction Works
The conversion from degrees to cardinal directions follows standard compass bearings divided into 8 primary directions:
- North (N) - 0° to 22.5° and 337.5° to 360°
- Northeast (NE) - 22.5° to 67.5°
- East (E) - 67.5° to 112.5°
- Southeast (SE) - 112.5° to 157.5°
- South (S) - 157.5° to 202.5°
- Southwest (SW) - 202.5° to 247.5°
- West (W) - 247.5° to 292.5°
- Northwest (NW) - 292.5° to 337.5°
The formula works by dividing the degree value by 45 (since 360°/8 directions = 45° per direction), rounding to the nearest integer, and using modulo 8 to wrap around the array of cardinal directions.
Examples of Degree to Cardinal Direction Conversion
Here are some example conversions to demonstrate how the calculator works:
| Degrees | Cardinal Direction |
|---|---|
| 0° | N |
| 45° | NE |
| 90° | E |
| 135° | SE |
| 180° | S |
| 225° | SW |
| 270° | W |
| 315° | NW |
These examples show the standard compass points and their corresponding degree ranges. The calculator uses these exact ranges to determine the cardinal direction.
Frequently Asked Questions
What is the difference between cardinal and ordinal directions?
Cardinal directions refer to the four primary compass points (N, E, S, W) and their intermediate points (NE, SE, SW, NW). Ordinal directions refer to the points between the cardinal directions, which are not part of the standard cardinal system.
How accurate is the degrees to cardinal direction conversion?
The conversion is mathematically precise based on standard compass bearings. The calculator uses exact degree ranges to determine the cardinal direction, providing accurate results for any valid input between 0° and 360°.
Can I use this calculator for maritime navigation?
Yes, this calculator is suitable for maritime navigation as it follows standard compass bearings. However, for precise maritime navigation, you may want to consult official nautical charts and navigation guidelines.
What happens if I enter a degree value outside 0-360?
The calculator will automatically normalize the input by using modulo 360, so any degree value will be converted to an equivalent value within the 0-360 range before calculation.