Area of a polygon
Overview
Important
The area of a polygon is the total region enclosed by its sides. For regular polygons and polygons with known coordinates, there are specific formulas. For any simple polygon, we can divide it into triangles, calculate the area of each, and sum them.
Important properties
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Area is always a positive number.
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For polygons on a coordinate plane, the Shoelace Formula can be used.
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Area is additive: the area of a whole equals the sum of its non-overlapping parts.