# Calculating the Area of a Country Using Green's Theorem

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Green's theorem shows the relationship between the length of a closed path and the area it encloses.

[more]
Contributed by: Erik Mahieu (May 2013)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: Shows the total area being independent of the position of the locator.

Snapshot 2: Shows the mostly positive areas (determinants) if the locator is in the middle. The direction of *Mathematica*'s CountryData coordinates is clockwise.

Snapshot 3: This illustrates the red positive areas and the blue negative ones. An intermediate color is generated when they overlap.

## Permanent Citation