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Paano Kalkulahin si Irregular Polygon

Ano ang Irregular Polygon?

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

Pormula

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

Step-by-Step na Gabay

  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)

Mga Nalutas na Halimbawa

Input
Coords x,y list
Resulta
Shoelace formula

Mga Karaniwang Mali na Dapat Iwasan

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

Mga madalas itanong

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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