Regular Polygon Calculator
What are the area and perimeter of a regular polygon? Enter the values below to calculate the result.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Index or side count (count) | Enter index or side count in count; use the same basis as the other measurements. |
| Side length (length) | Enter side length in length; use the same basis as the other measurements. |
Understanding your result
Read area (length^2), perimeter (length), interior (degree) in the units and model stated on this page. The formula area=n*s*s/(4*tan(pi/n)) · perimeter=n*s · interior=180*(n-2)/n defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Mixing input units or changing the physical meaning of a variable without changing the model.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
What are the area and perimeter of a regular polygon?
What are the area and perimeter of a regular polygon? Enter the values below to calculate the result.
Common uses
- What are the area and perimeter of a regular polygon
How it works
area=n*s*s/(4*tan(pi/n)); perimeter=n*s; interior=180*(n-2)/n
Worked example
Enter Index or side count: 6 count; Side length: 2 length. Results: area: 10.392304845413264 length^2; perimeter: 12 length; interior: 120 degree.