Coordinate Format Converter
Free Coordinate format Converter for geography & distance units. Enter a value to see equivalent measurements across systems.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Coordinate Format Converter
Calculator
Adjust values & calculateEnter your values below. Every result is computed in your browser โ no data is sent to any server.
Formula: DD = Degrees + Minutes/60 + Seconds/3600
Worked example โ 40.6892, -74.0444
Formula
DD = Degrees + Minutes/60 + Seconds/3600
Geographic coordinates use a sexagesimal (base-60) system inherited from Babylonian mathematics. One degree contains 60 arc-minutes, and one arc-minute contains 60 arc-seconds, for a total of 3600 arc-seconds per degree. Converting to decimal degrees simply expresses this relationship as a single decimal number, making computation straightforward.
Worked Examples
Example 1: Statue of Liberty Coordinates
Problem:Convert 40d 41m 21s N, 74d 2m 40s W to decimal degrees.
Solution:Latitude: 40 + 41/60 + 21/3600 = 40 + 0.6833 + 0.00583 = 40.6892 N Longitude: -(74 + 2/60 + 40/3600) = -(74 + 0.0333 + 0.0111) = -74.0444 W
Result:40.6892, -74.0444
Example 2: Tokyo Tower
Problem:Convert 35.6586 N, 139.7454 E to DMS format.
Solution:Latitude: 35 + 0.6586 * 60 = 35d 39.516m = 35d 39m 30.96s N Longitude: 139 + 0.7454 * 60 = 139d 44.724m = 139d 44m 43.44s E
Result:35d 39m 30.96s N, 139d 44m 43.44s E
Frequently Asked Questions
What are the main coordinate formats used in mapping?
The three main geographic coordinate formats are Decimal Degrees (DD), Degrees Minutes Seconds (DMS), and Degrees Decimal Minutes (DDM). Decimal Degrees like 40.7128, -74.006 are the standard for GPS devices and digital mapping APIs including Google Maps. DMS format like 40d 42m 46s N uses the traditional sexagesimal system from ancient Babylon. DDM like 40d 42.768m N is commonly used in marine navigation and older GPS units. All three represent the same location, just expressed differently.
Why do different mapping systems use different coordinate formats?
Different formats evolved for different use cases. DMS was the original format from celestial navigation, easy to read on graduated instruments like sextants. DDM became standard in marine GPS units because minutes of latitude directly correspond to nautical miles, making distance estimation intuitive. Decimal Degrees became dominant with digital computing because they simplify mathematical calculations, database storage, and API interfaces. UTM coordinates are preferred for military and land surveying because they provide flat-plane measurements in meters.
What is the precision of each coordinate format?
In Decimal Degrees, 4 decimal places give about 11 meter precision, 5 decimal places about 1.1 meters, and 6 decimal places about 0.11 meters. In DMS format, whole seconds give about 31 meter precision, tenths of seconds about 3.1 meters, and hundredths about 0.31 meters. In DDM, 3 decimal places of minutes give about 1.9 meters, and 4 decimal places about 0.19 meters. For most consumer navigation, 5-6 decimal places in DD or hundredths of seconds in DMS provide sufficient accuracy.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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