What coordinate system should I use?

Use any consistent Cartesian coordinate system — such as local survey grid, state plane, or UTM. X is typically Easting and Y is Northing. All coordinates must be in the same unit (meters or feet).

Does the order of stations matter?

Yes. Enter stations in order around the traverse — either clockwise or counter-clockwise. Mixing order will give an incorrect area.

How many stations are needed?

A minimum of 3 stations are required to define an enclosed polygon. There is no upper limit.

Does the traverse need to be closed?

The tool automatically closes the traverse by connecting the last point back to the first. You do not need to repeat the starting point.

What units does the tool accept?

The tool accepts any numeric coordinates. If your survey is in meters the area results are in sq meters, hectares, and sq feet (converted). If in feet, the sq feet result is native and others are converted.

What is the Shoelace formula?

The Shoelace (Gauss) formula computes the area of a polygon given its vertex coordinates: Area = |Σ(xᵢ × yᵢ₊₁ − xᵢ₊₁ × yᵢ)| / 2. It is exact for any simple (non-self-intersecting) polygon.

Traverse Area Calculator

Name: Traverse Area Calculator
Availability: InStock
Author: Nham Vu

Enter traverse station coordinates (X, Y) and instantly compute the enclosed polygon area using the Shoelace (Gauss) formula.

Station Coordinates

X (Easting)

Y (Northing)

Input coordinate unit

Meters Feet

Results

Enter coordinates and click Calculate

Polygon Preview

Copied!

Summary

Enter traverse station coordinates (X, Y) and instantly compute the enclosed polygon area using the Shoelace (Gauss) formula.

How it works

Enter the X (Easting) and Y (Northing) coordinates for each traverse station.
Add as many stations as needed using the "Add Station" button.
Click "Calculate Area" to apply the Shoelace formula: Area = |Σ(xᵢ × yᵢ₊₁ − xᵢ₊₁ × yᵢ)| / 2.
The tool closes the traverse automatically by linking the last point back to the first.
Results are displayed in sq meters, sq feet, acres, and hectares.
Use "Load Sample" to try a pre-loaded example traverse instantly.

Use cases

Compute the area of a surveyed land parcel from field traverse data.
Verify area calculations from total station or GPS coordinate output.
Check student traverse homework assignments.
Quickly convert traverse coordinates to area in multiple units.
Confirm property boundary areas for title or deed purposes.
Estimate site areas for civil engineering project planning.

Frequently Asked Questions

Last updated: 2026-07-04 · Reviewed by Nham Vu