Degrees Minutes Seconds
Convert decimal degrees to degrees minutes seconds (DMS) and back instantly. Free online angle converter for geographic coordinates, GPS, and navigation calculations.
About This Calculator
The Degrees Minutes Seconds (DMS) Converter is a free online tool that converts between decimal degrees and the DMS angle format. This conversion is essential for geographic coordinate systems used in GPS navigation, mapping, surveying, astronomy, and GIS applications worldwide. Whether you need to convert GPS coordinates from your smartphone's decimal format to the traditional degrees-minutes-seconds display or vice versa, this calculator handles both directions instantly.
The conversion follows the standard angular measurement system derived from ancient Babylonian mathematics. One degree equals 60 minutes, and one minute equals 60 seconds. To convert decimal degrees to DMS, the integer part becomes the degrees, the fractional part multiplied by 60 gives the minutes, and the remaining fractional minutes multiplied by 60 gives the seconds. Converting DMS to decimal uses the formula: decimal degrees = degrees + minutes/60 + seconds/3600. For example, 45.5° converts to 45° 30' 0", and 103° 44' 12" converts to 103.7367°.
Regional Notes
Global: DMS format is the international standard for geographic coordinates defined by ISO 6709. It is used universally in aviation (ICAO), maritime (IMO), and land surveying. All GPS devices and mapping applications support both DMS and decimal degree display formats. The WGS84 coordinate system, which underpins modern GPS, can be expressed in either format.
Frequently Asked Questions
What is degrees minutes seconds (DMS) format?
DMS (degrees, minutes, seconds) is a way of expressing angles where one degree is divided into 60 minutes and one minute into 60 seconds. For example, 45° 30' 15" means 45 degrees, 30 minutes, and 15 seconds. This format is commonly used in geographic coordinate systems for GPS coordinates, mapping, and navigation.
How do I convert decimal degrees to DMS?
To convert decimal degrees to DMS: take the integer part as degrees, multiply the decimal remainder by 60 to get minutes, then multiply the remaining decimal by 60 to get seconds. For example, 45.5° = 45° 30' 0" because 0.5 × 60 = 30 minutes and 0 × 60 = 0 seconds.
How do I convert DMS to decimal degrees?
To convert DMS to decimal degrees, use the formula: decimal degrees = degrees + minutes/60 + seconds/3600. For example, 45° 30' 15" = 45 + 30/60 + 15/3600 = 45.50417°.
What is the difference between DMS and decimal degrees?
Decimal degrees express angles as a single decimal number (e.g., 45.5042°), while DMS uses separate components (45° 30' 15"). DMS is more intuitive for human readability in mapping, but decimal degrees are preferred for mathematical calculations and digital storage.
Why are there 60 minutes in a degree?
The division of degrees into 60 minutes and 60 seconds comes from the ancient Babylonian sexagesimal (base-60) number system. This system has been used for thousands of years in astronomy, navigation, and timekeeping and remains the standard for geographic coordinates worldwide.
Is this degrees minutes seconds converter free to use?
Yes, this DMS converter is completely free to use with no limitations. You can perform unlimited conversions between decimal degrees and degrees minutes seconds for any geographic or angular measurement requirements.
Can I share my conversion results?
Yes, you can share your conversion results by copying the URL after calculation. The input values are saved in the URL parameters, allowing you to bookmark or send the exact conversion to others.
What are common uses of DMS format?
DMS format is widely used in GPS coordinates, topographic maps, surveying, aviation, maritime navigation, astronomy, and geographic information systems (GIS). Most mapping applications and GPS devices support both DMS and decimal degree formats for coordinate display.