Converting Decimal Degrees to Dms Calculator

Converting decimal degrees to degrees-minutes-seconds (DMS) is essential for precise geographic coordinates, navigation, and mapping applications. This guide explains the conversion process, provides a practical calculator, and offers tips for accurate results.

What is DMS format?

Degrees-minutes-seconds (DMS) is an alternative to decimal degrees for representing geographic coordinates. It breaks down a full circle (360°) into degrees, minutes, and seconds:

1° = 60 minutes (')
1' = 60 seconds (")

For example, 45.75° in decimal degrees converts to 45°45'0" in DMS format. This format is commonly used in older maps, nautical charts, and some GPS devices.

DMS is more precise than decimal degrees for small-scale measurements but requires more computation for calculations.

How to convert decimal degrees to DMS

The conversion process involves these steps:

Separate the integer degrees from the decimal portion
Multiply the decimal portion by 60 to get minutes
Separate the integer minutes from the new decimal portion
Multiply the remaining decimal by 60 to get seconds

Degrees = floor(decimal degrees) Minutes = floor((decimal degrees - Degrees) × 60) Seconds = (decimal degrees - Degrees - (Minutes / 60)) × 3600

For example, converting 36.75°:

Degrees = 36
Minutes = 0.75 × 60 = 45
Seconds = 0 × 3600 = 0

Result: 36°45'0"

Worked example

Let's convert 123.4567° to DMS:

Degrees = 123
Minutes = 0.4567 × 60 = 27.402
Seconds = 0.402 × 60 ≈ 24.12

Final result: 123°27'24.12"

Decimal Degrees	DMS Equivalent
45.75	45°45'0"
36.5	36°30'0"
123.4567	123°27'24.12"

FAQ

Why convert decimal degrees to DMS?: DMS is often used in older mapping systems, nautical charts, and some GPS devices that display coordinates in this format.
Is DMS more precise than decimal degrees?: Yes, DMS can represent angles with higher precision, especially for small-scale measurements.
Can I convert DMS back to decimal degrees?: Yes, the reverse calculation is: decimal degrees = degrees + (minutes / 60) + (seconds / 3600).
What's the difference between DMS and decimal degrees?: Decimal degrees use a single decimal number (e.g., 45.75°), while DMS breaks it into degrees, minutes, and seconds (e.g., 45°45'0").