Lat Long to Degrees Calculator

This calculator converts latitude and longitude coordinates from decimal degrees to degrees minutes seconds (DMS) format. It's useful for geographic coordinate formatting, navigation, and mapping applications.

How to Use This Calculator

To convert coordinates using this calculator:

Enter the latitude value in decimal degrees (e.g., 40.7128 for New York City)
Enter the longitude value in decimal degrees (e.g., -74.0060 for New York City)
Click the "Calculate" button
View the converted coordinates in DMS format

The calculator will display the converted coordinates in both latitude and longitude directions, showing degrees, minutes, and seconds.

Formula Used

The conversion from decimal degrees to degrees minutes seconds (DMS) uses the following formulas:

Degrees: The integer part of the decimal coordinate

Minutes: (Decimal part × 60) without the integer part

Seconds: (Remaining decimal part × 60)

For example, converting 40.7128° latitude:

Degrees = 40
Minutes = (0.7128 × 60) = 42.768
Seconds = (0.768 × 60) ≈ 46.08

The result is 40° 42' 46.08" N

Worked Examples

Example 1: New York City Coordinates

Input: Latitude 40.7128°, Longitude -74.0060°

Result:

Latitude: 40° 42' 46.08" N
Longitude: 74° 0' 21.6" W

Example 2: Sydney Coordinates

Input: Latitude -33.8688°, Longitude 151.2093°

Result:

Latitude: 33° 52' 7.68" S
Longitude: 151° 12' 33.48" E

Frequently Asked Questions

What is DMS format?: DMS (Degrees Minutes Seconds) is a format for expressing geographic coordinates that shows degrees, minutes, and seconds instead of decimal degrees.
Why convert decimal degrees to DMS?: DMS format is often used in older navigation systems, some mapping applications, and traditional cartography. It provides a more precise representation of coordinates.
How accurate is this conversion?: The conversion is mathematically precise to the number of decimal places you input. The calculator handles up to 6 decimal places for accurate results.
Can I convert DMS back to decimal degrees?: Yes, you can use our DMS to Decimal Degrees Calculator for the reverse conversion.
What are the limitations of this calculator?: The calculator assumes valid latitude and longitude values between -90 and 90 for latitude and -180 and 180 for longitude. It does not account for altitude or other coordinate systems.