Decimal Degrees to Lat Long Calculator

This calculator converts decimal degrees to latitude and longitude coordinates. Decimal degrees are a common way to represent geographic coordinates, combining degrees, minutes, and seconds into a single decimal number. This format is widely used in GPS devices, mapping software, and geographic information systems (GIS).

What is Decimal Degrees?

Decimal degrees is a coordinate system that represents geographic positions as decimal numbers rather than degrees, minutes, and seconds. This format is more precise and easier to work with in calculations and computer systems.

In decimal degrees:

Latitude ranges from -90° to +90° (negative for south, positive for north)
Longitude ranges from -180° to +180° (negative for west, positive for east)

For example, the coordinates for New York City are approximately 40.7128° N, 74.0060° W, which in decimal degrees would be 40.7128, -74.0060.

How to Convert Decimal Degrees to Lat Long

Converting decimal degrees to latitude and longitude coordinates is a straightforward process. The decimal degrees format combines all the components of traditional coordinates into a single number.

Steps to Convert:

Identify the decimal degree value for latitude and longitude
Determine the hemisphere (north/south for latitude, east/west for longitude)
Format the coordinates as "latitude, longitude" with appropriate signs

Note: Northern latitudes and eastern longitudes are positive, while southern latitudes and western longitudes are negative.

Conversion Formula

The conversion from decimal degrees to latitude and longitude coordinates is essentially an identity operation since decimal degrees are already in the desired format. The formula is simply:

Latitude = decimal degrees value for latitude Longitude = decimal degrees value for longitude

For example, if you have decimal degrees 40.7128 for latitude and -74.0060 for longitude, the corresponding coordinates are 40.7128° N, 74.0060° W.

Conversion Examples

Example 1: New York City

Decimal degrees: 40.7128, -74.0060

Coordinates: 40.7128° N, 74.0060° W

Example 2: Sydney, Australia

Decimal degrees: -33.8688, 151.2093

Coordinates: 33.8688° S, 151.2093° E

Example 3: Tokyo, Japan

Decimal degrees: 35.6762, 139.6503

Coordinates: 35.6762° N, 139.6503° E

Frequently Asked Questions

What is the difference between decimal degrees and degrees, minutes, seconds?: Decimal degrees combine all components of traditional coordinates into a single decimal number, making it more precise and easier to work with in calculations and computer systems.
How do I know if my latitude or longitude is positive or negative?: Northern latitudes and eastern longitudes are positive, while southern latitudes and western longitudes are negative.
Can I convert decimal degrees to other coordinate formats?: Yes, decimal degrees can be converted to degrees, minutes, seconds or other coordinate formats using additional conversion calculators.
What is the range of valid decimal degrees values?: Latitude ranges from -90° to +90°, and longitude ranges from -180° to +180°.
How accurate are decimal degrees coordinates?: Decimal degrees can represent coordinates with high precision, typically to six decimal places which is accurate to about 1 meter.