Reduced Latitude Calculator
Converts geodetic latitude to reduced (parametric) latitude using the ellipsoid flattening.
Enter Values
Before you rely on this: First-pass guide only. Verify safety-critical or regulated work against the relevant standards, your project requirements and a qualified professional.
How to use this calculator
- Enter the geodetic latitude.
- Press Calculate.
- Read the reduced (parametric) latitude.
How it works
Computes the reduced (parametric) latitude β = atan((1 − f)·tan φ) on the WGS84 ellipsoid — used inside ellipsoidal distance formulae.
Worked example
φ = −31.95°. Reduced latitude is very slightly smaller in magnitude.
Frequently asked questions
When do I need reduced latitude?
It appears in geodesic (Vincenty) distance calculations and some map-projection maths.
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Cite this tool
Zerdly. (2026). Reduced Latitude Calculator. Retrieved from https://www.zerdly.com/tools/reduced-latitude-calculator/
Tip: Enter any known values to calculate the remaining results.
All calculations run in your browser. Your inputs are never saved or transmitted.