Coordinate Converter

How to Convert Coordinates?

Coordinate conversion is essential for working with geographic data. This tool converts between Decimal Degrees (DD) and Degrees Minutes Seconds (DMS) formats.

Decimal Degrees (DD): A simple decimal number representing degrees. For example, 39.9042°N, 116.4074°E.

Degrees Minutes Seconds (DMS): A format using degrees, minutes, and seconds. For example, 39°54'15.12"N, 116°24'26.64"E.

To convert DD to DMS: Multiply the decimal part by 60 to get minutes, then multiply the minutes' decimal part by 60 to get seconds.

To convert DMS to DD: Divide minutes by 60, divide seconds by 3600, then add both to the degrees.

Conversion Principles

1. Decimal Degrees (DD)

Decimal Degrees is the simplest coordinate format. It represents latitude and longitude as decimal numbers. Latitude ranges from -90° to +90° (South to North), and longitude ranges from -180° to +180° (West to East).

2. Degrees Minutes Seconds (DMS)

DMS format divides degrees into 60 minutes, and each minute into 60 seconds. This format is more traditional and provides precise measurements. Example: 39°54'15.12"N means 39 degrees, 54 minutes, and 15.12 seconds North.

3. DD to DMS Conversion

• Step 1: The whole number part is the degrees
• Step 2: Multiply the decimal part by 60 to get minutes
• Step 3: The whole number part of minutes is the minutes
• Step 4: Multiply the decimal part of minutes by 60 to get seconds
• Example: 39.9042° → 39° + (0.9042 × 60)' = 39°54.252' → 39°54' + (0.252 × 60)" = 39°54'15.12"

4. DMS to DD Conversion

• Step 1: Start with the degrees value
• Step 2: Divide minutes by 60 and add to degrees
• Step 3: Divide seconds by 3600 and add to the result
• Step 4: Apply the direction (N/S for latitude, E/W for longitude)
• Example: 39°54'15.12"N → 39 + (54/60) + (15.12/3600) = 39.9042°N

5. Coordinate Ranges

• Latitude: -90° to +90° (South Pole to North Pole)
• Longitude: -180° to +180° (International Date Line, West to East)
• For DMS format:
• - Minutes: 0 to 59
• - Seconds: 0 to 59.999...

6. Direction Indicators

In DMS format, direction indicators are used: N (North) or S (South) for latitude, and E (East) or W (West) for longitude. In DD format, positive values indicate North/East, and negative values indicate South/West.

Conversion Examples

Common Coordinate Formats