1. What is the Latitude and Longitude Length Calculator?

This calculator determines the length (in kilometers) corresponding to a given number of degrees of longitude at a specific latitude. It accounts for the fact that the distance between lines of longitude decreases as you move toward the poles.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( \text{degrees} \) — Angular distance in degrees
• \( R \) — Earth's radius (default 6371 km)
• \( \text{lat} \) — Latitude in degrees (-90 to 90)

Explanation: The formula accounts for the fact that the distance between lines of longitude decreases with the cosine of the latitude.

3. Importance of Length Calculation

Details: This calculation is essential for geographic measurements, navigation, mapping applications, and understanding the relationship between angular and linear distances on Earth's surface.

4. Using the Calculator

Tips: Enter the degrees of longitude, Earth's radius (default is 6371 km), and the latitude where the measurement is taken. All values must be valid (latitude between -90 and 90).

5. Frequently Asked Questions (FAQ)

Q1: Why does longitude distance vary with latitude?
A: Because lines of longitude converge at the poles, making the distance between them decrease as you move away from the equator.

Q2: What is the standard Earth radius used in calculations?
A: The mean radius is approximately 6371 km, though Earth is an oblate spheroid with slightly different equatorial and polar radii.

Q3: Does this formula work for latitude distances?
A: No, this formula is specifically for longitude distances. Latitude distances are constant (approximately 111 km per degree).

Q4: How accurate is this calculation?
A: It provides good approximation for most purposes, but for precise measurements, more complex ellipsoidal models should be used.

Q5: Can I use this for other planets?
A: Yes, if you provide the correct planetary radius. The formula works for any spherical body.