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Jak vypočítat Irregular Polygon

Co je Irregular Polygon?

Calculates irregular polygon area using coordinate vertices. Handles non-regular multi-sided shapes.

Vzorec

Shoelace formula: A = |Σ(x_i × y_(i+1) - x_(i+1) × y_i)| / 2
A
|Σ(x_i × y_(i+1) - x_(i+1) × y_i)| / 2 — |Σ(x_i × y_(i+1) - x_(i+1) × y_i)| / 2

Průvodce krok za krokem

  1. 1Shoelace formula: A = |Σ(x_i × y_(i+1) - x_(i+1) × y_i)| / 2
  2. 2Order vertices clockwise or counter-clockwise consistently
  3. 3Close polygon by including first vertex at end
  4. 4Works for any polygon (convex or concave)

Worked Examples

Vstup
Coords x,y list
Výsledek
Shoelace formula

Common Mistakes to Avoid

  • Inconsistent vertex ordering
  • Forgetting to close polygon (include first vertex again at end)

Frequently Asked Questions

What's the Shoelace formula?

Calculates area from vertex coordinates; works for any polygon shape.

Does order of vertices matter?

Yes; consistent clockwise or counter-clockwise required; opposite order gives negative area.

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