FREE ONLINE TOOL

Square Foot Calculator 5 Sides

Calculate the square footage of a regular 5-sided polygon (pentagon). Enter the side length to get the area in square feet.

Formula: Area = (5 × s² / 4) × cot(π/5)

5-Sided Polygon Calculator

Enter the side length of a regular 5-sided polygon (pentagon).

Total Area
0sq ft
Interactive Diagram s s s s s 1.72 × s²

Regular pentagon with 5 equal sides.
Each interior angle = 108°.

How to Calculate Square Footage of a 5-Sided Shape

A regular 5-sided polygon (pentagon) has all sides equal and all interior angles equal (108° each). This calculator uses the standard regular polygon area formula.

5-Sided Polygon Formula

Area (ft²) = (5 × s² / 4) × cot(π/5) ≈ 1.72048 × s²

This is equivalent to the regular pentagon formula. For irregular 5-sided shapes, use the irregular shape calculator.

Example Calculation

5-Sided Garden

A regular pentagon garden bed has sides of 7 feet each.

1.72048 × 7² = 1.72048 × 49 = 84.30 square feet (7.83 sq m)

Common Questions

Frequently Asked Questions

How do I calculate the area of a 5-sided polygon? +

For a regular pentagon (all sides equal), use Area ≈ 1.72048 × s². For irregular 5-sided shapes, use the coordinate/Shoelace method.

What is a regular vs irregular polygon? +

A regular polygon has all sides equal and all angles equal. An irregular polygon has sides and/or angles of different sizes.

What is each interior angle of a regular pentagon? +

Each interior angle of a regular pentagon is 108°. The sum of all interior angles is 540°.