Degrees Minutes Seconds (DMS) Calculator: Convert to Decimal & Back

DMS to Decimal & Decimal to DMS Converter

Welcome to the ultimate Degrees Minutes Seconds Calculator! This powerful online tool simplifies conversions between DMS (Degrees, Minutes, Seconds) format and Decimal Degrees. Whether you're a student, navigator, surveyor, or astronomer, accurately calculating angular measurements is crucial. Our calculator ensures precision for all your geographical coordinates, celestial observations, and bearing calculations. Get instant, reliable results every time.

Formula:

Conversion Formulas

DMS to Decimal Degrees:

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

Decimal Degrees to DMS:

Degrees = floor(Decimal Degrees)

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

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

Where:

  • Degrees: The whole number part of the angle, representing the full degrees.
  • Minutes: The fractional part of an angle, where 1 minute (′) equals 1/60th of a degree (0-59).
  • Seconds: The smaller fractional part, where 1 second (″) equals 1/60th of a minute or 1/3600th of a degree (0-59.999).

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