Geodesy & Distance CalcyZone Calculator

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

Origin Location Preset

Destination Location Preset

Point 1 Coordinates (Origin)

Latitude (°N/S)

Longitude (°E/W)

Point 2 Coordinates (Destination)

Latitude (°N/S)

Longitude (°E/W)

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.

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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