How does the Irregular Polygon Calculator work?

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

Can you give an example of how to use the Irregular Polygon Calculator?

Example: Input Coords x,y list gives a result of Shoelace formula.

Is the Irregular Polygon Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Irregular Polygon Calculator?

Our Irregular Polygon Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Irregular Polygon Calculator

Irregular Polygon (Shoelace)

Vertices (x,y|x,y|...)

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

Symbol	Name	Unit	Description
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

Difficulty:intermediate

⭐

Did You Know?

Shoelace formula works for any polygon; same efficiency regardless of side count.

References

›Polygon Area Calculator

🔒

100% Free

No sign-up ever

✓

Accurate

Verified formulas

⚡

Instant

Results as you type

📱

Mobile Ready

All devices

Irregular Polygon Calculator

Irregular Polygon (Shoelace)

What is Irregular Polygon Calculator?

Formula

Variable Legend

How to Irregular Polygon Calculator

Worked Examples

Real-World Applications

Visual Diagram

Frequently Asked Questions

Common Mistakes to Avoid

Settings