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Convert Each Decimal Degree Measure Into Degrees-Minutes-Seconds Calculator

Reviewed by Calculator Editorial Team

Convert decimal degrees to degrees-minutes-seconds (DMS) with this precise calculator. Whether you're working with geographic coordinates, astronomy, or engineering measurements, this tool provides an accurate conversion that's easy to understand and use.

How to Use This Calculator

Using the decimal degree to DMS converter is simple:

  1. Enter the decimal degree value in the input field.
  2. Select the direction (North, South, East, or West) if applicable.
  3. Click the "Calculate" button to convert the value.
  4. Review the converted DMS value in the results section.

The calculator will display the converted value in degrees, minutes, and seconds format, along with any directional information you provided.

Conversion Formula

The conversion from decimal degrees to degrees-minutes-seconds follows these mathematical steps:

Degrees = Integer part of the decimal degree Minutes = (Decimal part of the degree × 60) without the integer part Seconds = (Remaining decimal part of minutes × 60)

For example, converting 45.765°:

  • Degrees = 45
  • Minutes = 0.765 × 60 = 45.9
  • Seconds = 0.9 × 60 = 54

So 45.765° converts to 45°45'54".

Worked Example

Let's convert 37.465° to DMS:

  1. Degrees = 37 (the integer part)
  2. Minutes = 0.465 × 60 = 27.9
  3. Seconds = 0.9 × 60 = 54

The result is 37°27'54".

Note: For geographic coordinates, you would typically add a direction (N, S, E, or W) to the converted value.

Frequently Asked Questions

What is the difference between decimal degrees and degrees-minutes-seconds?
Decimal degrees represent a location as a single decimal number (e.g., 45.765°), while degrees-minutes-seconds break it down into degrees, minutes, and seconds (e.g., 45°45'54"). DMS is often used in older maps and navigation systems.
When should I use decimal degrees versus DMS?
Decimal degrees are more precise and easier to work with in calculations, while DMS is often preferred for display purposes, especially in older systems. Modern GPS devices typically use decimal degrees.
How accurate is this conversion?
This calculator provides precise conversions using standard mathematical formulas. The accuracy depends on the precision of your input decimal degree value.
Can I convert DMS back to decimal degrees?
Yes, you can use our DMS to Decimal Degrees Calculator for the reverse conversion.