Regular Polygon Perimeter Calculator

Perimeter = Number of sides x length

Input value:
Number of sides:
Length:
Results:
Perimeter of a regular polygon:

A polygon with equal sides and equal angles is called a regular polygon (polygon: the number of sides is greater than or equal to 3). The center of the circumscribed circle of a regular polygon is called the center of the regular polygon. The length of the line connecting the center and the vertex of the regular polygon is called the radius. The distance between the center and the side is called the apothem. The axis of symmetry of a regular polygon - odd-numbered sides: connecting a vertex and the midpoint of the side opposite the vertex is the axis of symmetry; even-numbered sides: connecting the midpoints of two opposite sides, or connecting two symmetrical vertices, are all axes of symmetry. The number of sides of a regular N-gon is N, and the number of axes of symmetry is N.


What is a Regular Polygon Perimeter Calculator?

A Regular Polygon Perimeter Calculator is a tool used to determine the perimeter of a regular polygon (a polygon with equal sides and angles) based on its side length and number of sides.

Why use a Regular Polygon Perimeter Calculator?

Manually calculating the perimeter of a polygon can be tedious for polygons with many sides. A calculator is useful for:
✅ Ensuring accuracy in geometry and construction.
✅ Quick calculations for large or fractional values.
✅ Engineering, architecture, and design applications.

How does a Regular Polygon Perimeter Calculator work?

1. Formula for the Perimeter of a Regular Polygon

Perimeter=n×s

where:

  • n = Number of sides
  • s = Side length

2. Special Cases

  • If n=3 → It’s a triangle P=3s
  • If n=4 → It’s a square P=4s
  • If n is large → The polygon starts resembling a circle, where the perimeter approaches the circumference P≈2πr .

When is a Regular Polygon Perimeter Calculator Used?

🏗 Construction & Architecture – Calculating fencing, tiles, and polygonal layouts.
🎨 Graphic Design & CAD – Creating precise polygonal shapes.
🔬 Physics & Engineering – Designing mechanical components.
📊 Mathematics & Education – Teaching and solving geometry problems.