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Decimal to Degrees Calculator

Reviewed by Calculator Editorial Team

Convert decimal degrees to degrees, minutes, and seconds (DMS) with this precise calculator. Decimal degrees are commonly used in GPS coordinates and digital mapping, while degrees-minutes-seconds is the traditional format used in navigation charts and older maps.

What is Decimal to Degrees Conversion?

Decimal degrees represent a position on Earth's surface as a single decimal number, combining degrees, minutes, and seconds into a single value. For example, 40.6892° N, 74.0445° W represents New York City's coordinates in decimal degrees.

Degrees-minutes-seconds (DMS) is the traditional format that breaks down the coordinate into three parts: degrees, minutes, and seconds. For the same location, this would be 40°41'21.1" N, 74°2'37.8" W.

This conversion is essential for:

  • Navigating with traditional maps and charts
  • Understanding older geographic references
  • Converting between different coordinate systems
  • Working with legacy GIS data

How to Convert Decimal Degrees to DMS

To convert decimal degrees to degrees-minutes-seconds, follow these steps:

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

Example Conversion

Convert 40.6892° to DMS:

  1. Degrees = 40
  2. 0.6892 × 60 = 41.352 minutes
  3. Minutes = 41
  4. 0.352 × 60 = 21.12 seconds

Result: 40°41'21.12"

Decimal to Degrees Formula

Conversion Formula

For a decimal degree value D:

  1. Degrees = floor(D)
  2. Minutes = floor((D - Degrees) × 60)
  3. Seconds = (D - Degrees - (Minutes / 60)) × 3600

This formula accounts for the fact that:

  • 1 degree = 60 minutes
  • 1 minute = 60 seconds
  • Therefore, 1 degree = 3600 seconds

Decimal to Degrees Examples

Decimal Degrees Degrees-Minutes-Seconds
35.6895° 35°41'22.2"
51.4779° 51°28'40.44"
13.7542° 13°45'15.12"
28.5383° 28°32'18.28"

FAQ

What is the difference between decimal degrees and degrees-minutes-seconds?

Decimal degrees combine all components into a single number, while DMS separates them into degrees, minutes, and seconds. Decimal degrees are more precise for calculations, while DMS is more intuitive for human reading.

When would I need to convert decimal degrees to DMS?

You would need this conversion when working with traditional navigation charts, older maps, or systems that require the DMS format. It's also useful when you need to communicate coordinates in a format that's easier for people to read.

Is there a difference between positive and negative decimal degrees?

Yes, positive values typically indicate north latitude or east longitude, while negative values indicate south latitude or west longitude. The conversion process remains the same regardless of the sign.

Can I convert DMS back to decimal degrees?

Yes, you can reverse the process by converting degrees to decimal degrees, adding minutes divided by 60, and adding seconds divided by 3600.