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Perimeter Efficiency(Circle=100%) compares the actual perimeter of a shape with the circumference of the circle that would be required to enclose the same area. Since a circle will enclose any given area with the least amount of perimeter, it is said to be 100% efficient as an area enclosure.

## About Perimeter Efficiency

- General Equation for Any Closed Plane Shape

- Any Number of Separate Identical Shapes

- Comparison of the Actual Perimeter of Two Different Shapes

- Perimeter Efficiency of Rectangles

- Perimeter Efficiency of Regular Polygons

- Perimeter Efficiency for Circular Rings
## Practical Uses of Perimeter Efficiency (k)

- Example 1: Tall Office Buildings

- Example 2: Increasing Wall Area

- Example 3: Splitting a Log

- Example 4: Two-Story vs. One-Story House

- Example 5: Indianapolis Motor Speedway

- Example 6: The Pentagon
## Tables

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