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geo-distance Verified Precision Tool

DMS to Decimal Degrees Converter

Convert Degrees, Minutes, and Seconds (DMS) coordinates to Decimal Degrees (DD).

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid
Point 1 Coordinates (Origin)
Point 2 Coordinates (Destination)
Calculated Geodetic Solution
40° 42' 46.08" N, 74° 0' 21.6" W
Decimal Degrees40.7128°, -74.006°
Latitude DMS40° 42' 46.08" N
Longitude DMS74° 0' 21.6" W
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Map Data: © OpenStreetMap ContributorsWGS-84 Precision Geodesic Curve

Step-by-Step Mathematical Derivation

1. Given Input Coordinates:
  • Latitude: 40.7128°
  • Longitude: -74.006°
2. Model & Ellipsoid Reference:WGS-84 / Earth Sphere R = 6,371 km
3. Governing Geodesic Formula:Degrees = floor(DD), Minutes = floor((DD - D)*60), Seconds = (MinFloat - M)*60
4. Variable Substitution:Lat: 40.7128 -> 40° 42' 46.08"
5. Interpretation & Practical Application:

Converted decimal coordinates to degrees, minutes, and seconds format.

Mathematical Formula

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

Overview & Explanation

Converts sexagesimal DMS values into standard decimal floating point coordinates used by Google Maps and web GIS.

How It Works

  • Divides minutes by 60 and seconds by 3600 and sums with degrees.

Practical Applications

  • Mapping web apps.
  • API payload formatting.

Worked Example: 40° 42' 46.08" N

Convert to DD.

1

Sum components

40 + 42/60 + 46.08/3600

= 40.7128°

Frequently Asked Questions

How do South and West directions affect the result?
South latitudes and West longitudes produce negative decimal degree values.

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