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Jinsi ya kukokotoa Irregular Polygon

Irregular Polygon ni nini?

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

Fomula

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

Mwongozo wa Hatua kwa Hatua

  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)

Mifano Iliyotatuliwa

Ingizo
Coords x,y list
Matokeo
Shoelace formula

Makosa ya Kawaida ya Kuepuka

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

Maswali yanayoulizwa mara kwa mara

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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