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Calculator to Convert Gis to Decimal Degrees

Reviewed by Calculator Editorial Team

GIS coordinates are commonly used in geographic information systems to specify locations on Earth. Decimal degrees are a more precise and widely used format for representing geographic coordinates. This calculator helps you convert between these two formats accurately.

What are GIS coordinates?

GIS coordinates refer to the geographic coordinates used in Geographic Information Systems. These coordinates are typically expressed in degrees, minutes, and seconds (DMS) format, which is commonly used in cartography and surveying. The format is usually written as degrees°minutes'seconds" followed by a compass direction (N, S, E, W).

Example of GIS coordinates

40°42'51"N 74°0'21"W represents a location in New York City.

While DMS format is useful for precise measurements, decimal degrees are often preferred in digital mapping and data analysis because they are easier to work with in calculations and computer systems.

How to convert GIS to decimal degrees

Converting GIS coordinates from degrees, minutes, and seconds to decimal degrees involves a straightforward mathematical process. The conversion formula is:

Conversion Formula

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

To convert a coordinate from DMS to decimal degrees:

  1. Take the degrees value as is
  2. Divide the minutes by 60 and add to the degrees
  3. Divide the seconds by 3600 and add to the previous result
  4. For west longitudes and south latitudes, make the decimal degrees negative

This process ensures that the coordinate is represented in a format that's compatible with most digital mapping systems and software.

Formula and examples

The conversion formula is straightforward but important to understand. Here's how it works with an example:

Example Conversion

Convert 40°42'51"N 74°0'21"W to decimal degrees:

Latitude: 40 + (42/60) + (51/3600) = 40.7142°

Longitude: - (74 + (0/60) + (21/3600)) = -74.0058°

This example shows how to convert a specific GIS coordinate to decimal degrees. The negative sign for the longitude indicates that this location is west of the prime meridian.

Another example: 34°3'27"S 150°55'36"E becomes:

Latitude: - (34 + (3/60) + (27/3600)) = -34.0575°

Longitude: 150 + (55/60) + (36/3600) = 150.9267°

Common mistakes to avoid

When converting GIS coordinates to decimal degrees, there are several common errors to watch out for:

  • Forgetting to divide minutes by 60 and seconds by 3600
  • Incorrectly applying the negative sign for west longitudes and south latitudes
  • Mixing up the order of degrees, minutes, and seconds in the calculation
  • Rounding the final decimal degrees to too few decimal places

Precision matters

For most applications, 4-6 decimal places provide sufficient precision. However, for high-precision applications like surveying, more decimal places may be needed.

By being aware of these potential pitfalls, you can ensure accurate conversions and reliable geographic data.

Frequently Asked Questions

What is the difference between GIS coordinates and decimal degrees?
GIS coordinates are typically expressed in degrees, minutes, and seconds (DMS) format, while decimal degrees represent the same location but in a continuous numerical format that's easier to work with in digital systems.
Why would I need to convert GIS coordinates to decimal degrees?
Decimal degrees are more commonly used in digital mapping, GIS software, and data analysis because they provide a more precise and continuous representation of geographic locations.
Is there a way to convert decimal degrees back to GIS coordinates?
Yes, you can convert decimal degrees back to DMS format using the reverse calculation: degrees = integer part, minutes = (decimal part × 60), and seconds = (remaining decimal × 3600).
What level of precision should I use when converting coordinates?
For most applications, 4-6 decimal places provide sufficient precision. However, for high-precision applications, more decimal places may be needed.