Convert Degrees Minutes Seconds to Degrees Minutes Calculator

Convert angles between degrees-minutes-seconds (DMS) format and decimal degrees with this precise calculator. Whether you're working with GPS coordinates, astronomy, or surveying, this tool provides accurate conversions with clear explanations.

How to Use This Calculator

Using the calculator is simple:

Enter the degrees, minutes, and seconds values in the input fields
Select whether you want to convert to or from decimal degrees
Click "Calculate" to see the result
Use the "Reset" button to clear all fields

The calculator will display the converted value in the result section below. You can also view a visual representation of the conversion in the chart.

Conversion Method

Converting between degrees-minutes-seconds (DMS) and decimal degrees involves simple arithmetic:

DMS to Decimal Degrees

Decimal Degrees = Degrees + (Minutes / 60) + (Seconds / 3600)

Decimal Degrees to DMS

Degrees = Integer part of decimal degrees

Minutes = (Decimal part × 60) - Integer part

Seconds = (Remaining decimal part × 3600)

For example, to convert 45°30'15" to decimal degrees:

Convert minutes to degrees: 30' ÷ 60 = 0.5°
Convert seconds to degrees: 15" ÷ 3600 ≈ 0.00417°
Add all parts: 45 + 0.5 + 0.00417 ≈ 45.50417°

Examples

Here are some example conversions:

Example 1: DMS to Decimal Degrees

Convert 38°53'20" to decimal degrees:

38 + (53/60) + (20/3600) ≈ 38.8889°

Example 2: Decimal Degrees to DMS

Convert 123.4567° to DMS:

Degrees: 123

Minutes: (0.4567 × 60) ≈ 27.402

Seconds: (0.402 × 60) ≈ 24.12

Result: 123°27'24"

FAQ

What is the difference between DMS and decimal degrees?

Degrees-minutes-seconds (DMS) is a format that breaks down angles into degrees, minutes, and seconds, while decimal degrees represent the whole angle as a single decimal number. DMS is often used in older maps and navigation systems, while decimal degrees are more common in modern digital systems.

When should I use DMS vs decimal degrees?

Use DMS when working with traditional maps, surveying tools, or older navigation systems. Use decimal degrees for digital mapping, GPS devices, and most modern applications that require precise angle measurements.

Is this calculator accurate for all angle conversions?

Yes, this calculator uses standard conversion formulas and provides precise results. The calculations are based on the fundamental relationships between degrees, minutes, and seconds (1° = 60', 1' = 60").