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Degrees to Dms Calculator

Reviewed by Calculator Editorial Team

Convert decimal degrees to degrees, minutes, and seconds (DMS) with our precise degrees to DMS calculator. This tool helps you convert geographic coordinates or angular measurements between decimal and DMS formats.

What is Degrees, Minutes, Seconds (DMS)?

Degrees, minutes, and seconds (DMS) is an alternative way to represent angles or geographic coordinates. Unlike decimal degrees, which use a single decimal number, DMS breaks the angle into three components:

  • Degrees (°): The whole number part of the angle (0-360°)
  • Minutes ('): The fractional part of a degree, divided into 60 equal parts (0-59')
  • Seconds ("): The fractional part of a minute, divided into 60 equal parts (0-59")

This format is commonly used in navigation, cartography, and astronomy where precise angular measurements are required.

How to Convert Decimal Degrees to DMS

Converting decimal degrees to DMS involves a few simple steps:

  1. Separate the whole number part as degrees
  2. Multiply the decimal part by 60 to get minutes
  3. Separate the whole number part as minutes
  4. Multiply the remaining decimal part by 60 to get seconds

For example, converting 45.75° to DMS:

  • Degrees: 45
  • Minutes: 0.75 × 60 = 45
  • Seconds: 0 × 60 = 0
  • Result: 45°45'0"

Conversion Formula

The formula to convert decimal degrees to DMS is:

Degrees = floor(decimal degrees)

Minutes = floor((decimal degrees - Degrees) × 60)

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

This formula ensures you get the whole number parts for degrees and minutes, and the precise decimal value for seconds.

Conversion Examples

Decimal Degrees DMS
34.5678° 34°34'4"
123.4567° 123°27'24"
98.7654° 98°45'55"
5.6789° 5°40'44"

These examples show how different decimal degree values convert to their DMS equivalents.

Frequently Asked Questions

Why would I need to convert decimal degrees to DMS?

DMS is often used in navigation, cartography, and astronomy where precise angular measurements are required. Many older systems and instruments still use the DMS format.

Is there a difference between DMS and decimal degrees?

Yes, the main difference is the format. 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").

Can I convert DMS back to decimal degrees?

Yes, the reverse calculation is straightforward: degrees + minutes/60 + seconds/3600.

What are the limitations of DMS?

DMS can be less precise for small angles and more cumbersome to work with in calculations compared to decimal degrees.