כיצד לחשב את Irregular Polygon

learn.whatIsHeading

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

נוסחה

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

מדריך שלב אחר שלב

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

Common Mistakes to Avoid

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

Frequently Asked Questions