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CalcyZone
geo-distance Verified Precision Tool

UTM to Lat/Long Converter

Convert Universal Transverse Mercator (UTM) zone, Easting, and Northing coordinates back to geographic latitude and longitude.

📍 Select World Location Presets or Custom Coordinates

WGS-84 Ellipsoid
Point 1 Coordinates (Origin)
Point 2 Coordinates (Destination)
Calculated Geodetic Solution
Zone 18N | E: 583959m, N: 4507351m
UTM Zone18 (N)
Easting (X)583959 m E
Northing (Y)4507351 m N
🗺️ 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:Transverse Mercator Projection (UTM WGS-84)
4. Variable Substitution:Central Meridian Zone 18
5. Interpretation & Practical Application:

Converted geographic coordinates to Universal Transverse Mercator (UTM) metric coordinates.

Mathematical Formula

Inverse Transverse Mercator Projection

Overview & Explanation

Reconstructs WGS-84 latitude and longitude from UTM metric grid coordinates.

How It Works

  • Applies inverse Transverse Mercator trigonometric series expansion.

Practical Applications

  • Survey data processing.
  • GIS software conversion.

Worked Example: Zone 10N (551123, 4181022)

Convert back to SF.

1

Inverse Projection

Compute lat/long from central meridian -123°

= 37.7749° N, 122.4194° W

Frequently Asked Questions

What ellipsoid is used?
Calculations use the standard global WGS-84 reference ellipsoid.

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