Utmto Lat Long Converter
Our free earth measurements converter handles utmto lat long conversions. See tables, ratios, and examples for quick reference.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Lat/Lon derived from UTM via inverse Transverse Mercator on WGS84 ellipsoid
The conversion uses the WGS84 ellipsoid (a=6378137m, f=1/298.257223563) and applies the inverse Transverse Mercator projection. First a footpoint latitude is computed from the northing, then iterative corrections using the easting produce the final latitude and longitude. The central meridian is calculated as (zone - 1) * 6 - 177 degrees.
Worked Examples
Example 1: Converting a UTM Point in Zone 17N
Problem:Convert UTM 17N 630000E 4833000N to latitude and longitude.
Solution:Using WGS84 ellipsoid parameters:\na = 6378137.0, f = 1/298.257223563\nApply inverse UTM formulas with footpoint latitude\nResult: 43.6532N, -79.3832W (Toronto, Canada)
Result:Latitude: 43.6532N, Longitude: -79.3832W
Example 2: Southern Hemisphere UTM Conversion
Problem:Convert UTM 56S 334000E 6252000N to lat/long.
Solution:For southern hemisphere, subtract 10,000,000 from northing\nAdjusted northing for calculation: 6252000 - 10000000 = -3748000\nApply inverse formulas with zone 56 central meridian at 153E
Result:Latitude: -33.8688S, Longitude: 151.2093E (Sydney, Australia)
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy