Area by Coordinates

Formula and source

Shoelace / coordinate method: A = 1/2 * |sum (E_i * N_{i+1} - E_{i+1} * N_i)| over the closed ring; acres = ft^2 / 43560; m^2 = ft^2 * 0.0929. Coordinates are North/East (surveying order).

The coordinate (shoelace) method for the area of a closed traverse per FM 5-233 Construction Surveying and the standard surveying texts, by name; public-domain US Government work and first-principles coordinate geometry.

Audience

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Posture

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