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How to Convert Degrees to Dms Calculator

Reviewed by Calculator Editorial Team

Converting decimal degrees to degrees, minutes, and seconds (DMS) is essential for navigation, surveying, and geographic coordinate systems. This guide explains the conversion process and provides an interactive calculator to perform the conversion quickly.

What is Degrees, Minutes, Seconds (DMS)?

The degrees, minutes, seconds (DMS) format is an alternative to decimal degrees for representing angles. In this system:

  • 1 degree (°) = 60 minutes ('), also called arcminutes
  • 1 minute ('') = 60 seconds (''), also called arcseconds

This format is commonly used in navigation, cartography, and surveying because it provides more precise measurements than whole degrees alone.

For example, 45.75 degrees can be expressed as 45° 45' 0" in DMS format.

How to Convert Degrees to DMS

To convert decimal degrees to DMS format, follow these steps:

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

This process ensures that the angle is accurately represented in DMS format.

Conversion Formula

To convert decimal degrees (D) to DMS:

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

The formula breaks down the decimal degrees into whole degrees, minutes, and seconds components.

Worked Example

Let's convert 45.75 degrees to DMS:

  1. Degrees = floor(45.75) = 45°
  2. Minutes = floor((45.75 - 45) × 60) = 45'
  3. Seconds = (45.75 - 45 - (45 / 60)) × 3600 = 0"

The result is 45° 45' 0".

FAQ

Why convert degrees to DMS?
DMS format is often used in navigation and cartography because it provides more precise measurements than decimal degrees alone.
Can I convert DMS back to decimal degrees?
Yes, you can reverse the conversion by calculating: Degrees + (Minutes / 60) + (Seconds / 3600).
What is the difference between DMS and decimal degrees?
Decimal degrees use a single decimal number to represent an angle, while DMS uses degrees, minutes, and seconds for more precise measurements.
When should I use DMS instead of decimal degrees?
Use DMS when working with older maps, navigation systems, or when precise measurements are required in fields like surveying and cartography.
Is there a difference between DMS and DM?
Yes, DM (degrees and minutes) omits the seconds component, while DMS includes all three components for even more precision.