Non-Regular Polygon Calculator
Area: - square units
Perimeter: - units
Centroid: -
Understanding Non-Regular Polygons
What is a Non-Regular Polygon?
A non-regular polygon is a polygon whose sides are not all equal in length and whose angles are not all equal in measure.
Area = |Σ(x₁y₂ - x₂y₁)/2|
Perimeter = Σ√[(x₂-x₁)² + (y₂-y₁)²]
Centroid = (Σx/n, Σy/n)
where:
- (x₁,y₁), (x₂,y₂) are consecutive vertices
- n = number of vertices
Properties
- Unequal sides
- Unequal angles
- May be concave or convex
- Can be self-intersecting
Types and Classifications
Convex
All interior angles < 180°
Concave
At least one interior angle > 180°
Simple
No self-intersecting edges
Complex
Self-intersecting edges possible
Applications
Surveying
Land area calculations
Architecture
Building footprint design
GIS
Geographic mapping
Computer Graphics
Shape modeling