CZ
CalcyZone
Geodesy & Distance CalcyZone Calculator

Decimal Degrees to DMS Converter

Convert decimal degree coordinates to Degrees, Minutes, and Seconds (DMS) format.

📍 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
🗺️ Interactive Geographic Map & Geodesic Trajectory

Click anywhere on the map or drag pins to update coordinates live.

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

Degrees = floor(DD), Minutes = floor((DD - D)*60), Seconds = (MinFloat - M)*60

Overview & Explanation

Converts floating-point decimal coordinates into nautical and surveying DMS notation.

How It Works

  • Decomposes decimal parts into integer sexagesimal components.

Practical Applications

  • Chart plotting.
  • Surveying documentation.

Worked Example: 51.5074° N

Convert London latitude.

1

Convert

51° + 30' + 26.64"

= 51° 30' 26.64" N

Frequently Asked Questions

Why use DMS instead of decimal degrees?
DMS is traditionally used in marine navigation, aviation charts, and official surveying documentation.

Related Calculators

geo-distance

Haversine Distance Calculator

Compute exact great-circle distance between two latitude and longitude coordinates using the Haversine trigonometric formula.

Use Calculator
geo-distance

DMS to Decimal Degrees Converter

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

Use Calculator
geo-distance

GPS Coordinate Converter

Convert GPS coordinates between Decimal Degrees (DD), Degrees Minutes Seconds (DMS), and Degrees Decimal Minutes (DDM).

Use Calculator
geo-distance

Lat/Long to UTM Converter

Convert geographic latitude and longitude coordinates into Universal Transverse Mercator (UTM) zone and metric coordinates.

Use Calculator