Degrees Minutes And Seconds Angle Calculator

Degrees, minutes, and seconds (DMS) are units of angular measurement used in navigation, astronomy, and other fields. Our calculator helps convert between DMS and decimal degrees, making it easier to work with these measurements.

How to Use This Calculator

1. Enter the degrees, minutes, and seconds values.
2. Select the unit you want to convert to (DMS or Decimal).
3. Click the “Calculate” button.
4. View the result below the calculator.

Formula & Methodology

The conversion between DMS and decimal degrees can be done using the following formula:

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

To convert from decimal degrees to DMS, we reverse the process:

Degrees = floor(Decimal Degrees)

Minutes = floor((Decimal Degrees - Degrees) * 60)

Seconds = round(((Decimal Degrees - Degrees) * 60 - Minutes) * 60)

Real-World Examples

Data & Statistics

Comparison of DMS and Decimal Degrees

DMS	Decimal Degrees
40° 52′ 53.45″	40.88151388888889

Expert Tips

• Always round seconds to two decimal places for accuracy.
• When working with large angles, consider using radians instead.

Interactive FAQ

What are degrees, minutes, and seconds?

Degrees, minutes, and seconds are units of angular measurement…

USNO Astronomical Information Center

University of Maryland Astronomy 160

NOAA National Geodetic Survey