Coordinate Geometry Calculators

Free coordinate geometry calculators: irregular polygon area using the Shoelace formula, and more. Fast, accurate, and free online tools.

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Irregular Polygon Area Calculator
Calculate the area and perimeter of any irregular polygon from its vertex coordinates using the Shoelace formula. Free, instant, shows side lengths.

Coordinate Geometry Calculators

Coordinate geometry (analytic geometry) bridges algebra and geometry by describing shapes through numerical coordinates on a Cartesian plane. These calculators solve real coordinate geometry problems instantly using rigorous formulas.

One Coordinate Geometry Calculator

Irregular Polygon Area Calculator - Find the exact area and perimeter of any polygon (3 to 8 vertices) by entering its vertex coordinates. Uses the Shoelace formula (Gauss’s area formula) and shows a full side-length breakdown table.

What is the Shoelace formula for polygon area?+
The Shoelace formula computes the area of any simple (non-self-intersecting) polygon from its vertex coordinates. Given vertices (x1, y1) through (xn, yn), the area equals one half of the absolute value of the sum of (xi times y(i+1) minus x(i+1) times yi) for all i, cycling back to vertex 1 after the last vertex. It works for any number of vertices and any shape, regular or irregular.