Lat Long to Decimal Degrees Calculator

Decimal degrees are a standard way to represent geographic coordinates that combine degrees, minutes, and seconds into a single numerical value. This format is widely used in GPS devices, mapping software, and geographic information systems (GIS).

What are Decimal Degrees?

Decimal degrees represent geographic coordinates as a single decimal number rather than degrees, minutes, and seconds. This format is more precise and easier to work with in calculations and computer systems.

For example, a latitude of 40° 42' 51" N would be converted to 40.7142° N in decimal degrees. Similarly, a longitude of 74° 0' 21" W would become -74.0058°.

Decimal degrees are the standard format for most modern mapping and navigation systems. They provide a more precise and compact way to represent coordinates compared to the traditional degrees-minutes-seconds format.

How to Convert Lat/Long to Decimal Degrees

Converting latitude and longitude from degrees, minutes, and seconds to decimal degrees involves a simple mathematical process. Here's a step-by-step guide:

Identify the degrees, minutes, and seconds components of your coordinate.
Convert the minutes to a decimal by dividing by 60.
Convert the seconds to a decimal by dividing by 3600.
Add all three values together to get the decimal degrees.
For latitude, north is positive and south is negative. For longitude, east is positive and west is negative.

This process can be done manually or using our calculator below. The calculator handles all these steps automatically for you.

Conversion Formula

The formula to convert degrees, minutes, and seconds to decimal degrees is:

Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)

For latitude coordinates:

North latitude is positive
South latitude is negative

For longitude coordinates:

East longitude is positive
West longitude is negative

Worked Example

Let's convert the coordinate 40° 42' 51" N to decimal degrees:

Example Calculation

Degrees: 40

Minutes: 42

Seconds: 51

Convert minutes to decimal: 42 / 60 = 0.7

Convert seconds to decimal: 51 / 3600 ≈ 0.0142

Add all components: 40 + 0.7 + 0.0142 ≈ 40.7142° N

So, 40° 42' 51" N converts to 40.7142° N in decimal degrees.

FAQ

Why do we use decimal degrees instead of degrees, minutes, and seconds?

Decimal degrees provide a more precise and compact representation of coordinates, making them easier to work with in calculations and computer systems. They are the standard format for most modern mapping and navigation applications.

How accurate is the decimal degrees conversion?

The conversion is mathematically precise. The decimal degrees format can represent coordinates with the same accuracy as the degrees-minutes-seconds format, just in a different numerical format.

Can I convert decimal degrees back to degrees, minutes, and seconds?

Yes, you can reverse the conversion process. Our calculator can also perform this conversion if needed.

What are the ranges for latitude and longitude in decimal degrees?

Latitude ranges from -90° to 90°, with positive values for north and negative for south. Longitude ranges from -180° to 180°, with positive values for east and negative for west.