Square Foot Calculator Pentagon
Calculate the square footage of a regular pentagon. Enter the side length to get the area in square feet.
Regular Pentagon Calculator
Enter the side length of a regular (equal-sided) pentagon.
All 5 sides are equal length.
Interior angles = 108° each.
How to Calculate Square Footage of a Pentagon
A regular pentagon has 5 equal sides and 5 equal angles. Pentagon-shaped areas appear in architectural designs, garden layouts, and specialty rooms.
Regular Pentagon Area Formula
Where s is the length of one side. All sides must be equal for a regular pentagon.
Step-by-Step Instructions
- Measure one side of the regular pentagon in feet.
- Square the side length (multiply it by itself).
- Multiply by 1.72048 to get the area in square feet.
Example Calculation
A pentagon-shaped garden has sides of 8 feet each.
1.72048 × 8² = 1.72048 × 64 = 110.11 square feet (10.23 sq m)
Frequently Asked Questions
How do I calculate the area of a regular pentagon? +
For a regular pentagon (all sides equal), use the formula: Area ≈ 1.72048 × s², where s is the side length. Enter the side length in our calculator to get the result instantly.
What is a regular pentagon? +
A regular pentagon is a 5-sided polygon where all sides are equal length and all interior angles are equal (108° each).
What is the area of a pentagon with 10 ft sides? +
Area ≈ 1.72048 × 10² = 1.72048 × 100 = 172.05 square feet.
Where do pentagon shapes appear? +
Pentagon shapes are found in architectural designs, garden layouts, decorative paving, the Pentagon building in Washington D.C., and specialty room designs.