Decimal Degrees Formula:
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Decimal degrees is a way of expressing latitude and longitude geographic coordinates as decimal fractions. This format is simpler to use in calculations and digital systems compared to the traditional degrees-minutes-seconds (DMS) format.
The calculator uses the formula:
Where:
Explanation: The formula converts each component to its decimal equivalent by dividing the minutes by 60 (since there are 60 minutes in a degree) and the seconds by 3600 (since there are 3600 seconds in a degree).
Details: Decimal degrees are widely used in GPS systems, geographic information systems (GIS), and most digital mapping applications because they simplify calculations and are easier to parse programmatically.
Tips: Enter degrees (0-360), minutes (0-59), and seconds (0-59.9999). All values must be valid within their respective ranges. Negative values can be used for southern latitudes or western longitudes.
Q1: What's the precision of decimal degrees?
A: Typically 6 decimal places gives precision to about 11 cm at the equator.
Q2: How do I represent negative values?
A: Negative degrees represent southern latitudes or western longitudes.
Q3: Can I convert decimal degrees back to DMS?
A: Yes, the integer part is degrees, multiply the decimal by 60 for minutes, and the decimal of minutes by 60 for seconds.
Q4: What's the difference between DMS and decimal degrees?
A: DMS shows coordinates as three separate numbers (degrees° minutes' seconds"), while decimal degrees combines them into a single number.
Q5: When should I use decimal degrees vs DMS?
A: Use decimal degrees for calculations and digital systems, DMS for human-readable displays and traditional navigation.