Degrees Direction Calculator

This degrees direction calculator helps you determine the bearing between two points using degrees. Whether you're navigating, surveying, or simply curious about compass directions, this tool provides clear results and explanations.

How to Use This Calculator

To calculate the direction between two points:

Enter the starting point coordinates (latitude and longitude)
Enter the destination point coordinates (latitude and longitude)
Click "Calculate" to see the bearing in degrees
Review the result and compass direction

The calculator will show you the azimuth (compass bearing) from the starting point to the destination, measured in degrees clockwise from north.

Formula Explained

The formula used to calculate the bearing between two points is based on spherical geometry:

Bearing (θ) = atan2(sin(Δλ) * cos(φ₂), cos(φ₁) * sin(φ₂) - sin(φ₁) * cos(φ₂) * cos(Δλ))

Where:

φ₁ = latitude of starting point
φ₂ = latitude of destination point
Δλ = difference in longitude between points

The result is converted to degrees and adjusted to be between 0° and 360°.

Note: This formula assumes a spherical Earth model. For precise measurements, consider using more complex geodesic calculations.

Worked Examples

Example 1: Simple Bearing Calculation

Starting point: 40.7128° N, 74.0060° W (New York)

Destination point: 34.0522° N, 118.2437° W (Los Angeles)

Calculation: The bearing from New York to Los Angeles is approximately 285.5° (west-northwest).

Example 2: Northern Hemisphere Calculation

Starting point: 51.5074° N, 0.1278° W (London)

Destination point: 48.8566° N, 2.3522° E (Paris)

Calculation: The bearing from London to Paris is approximately 107.5° (east-northeast).

Frequently Asked Questions

What is a compass bearing in degrees?: A compass bearing in degrees measures the direction from one point to another, with 0° pointing north, 90° east, 180° south, and 270° west.
How accurate is this calculator?: This calculator provides approximate bearings using a spherical Earth model. For precise measurements, consider using professional surveying tools.
Can I use this for aviation navigation?: While this calculator provides basic bearings, aviation navigation typically requires more precise methods and additional considerations.
What if I'm calculating directions in the southern hemisphere?: The same formula applies, but you'll need to account for the different coordinate system when interpreting the results.