EVERYDAY CLARITY

Pentagon Calculator

What are the area and perimeter of a pentagon? Enter the values below to calculate the result.

Enter your values

01

Use a dot or comma for decimals.

Your result
area
6.88190960236 length^2
perimeter
10 length
interior
108 degree

Result for the values shown.

Calculations run in your browser.

What to enter
InputMeaning and units
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=5*s*s/(4*tan(pi/5)) · perimeter=5*s · interior=180*(5-2)/5 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 pentagon?

What are the area and perimeter of a pentagon? Enter the values below to calculate the result.

Common uses

  • What are the area and perimeter of a pentagon

How it works

area=5*s*s/(4*tan(pi/5)); perimeter=5*s; interior=180*(5-2)/5

Worked example

Enter Side length: 2 length. Results: area: 6.881909602355868 length^2; perimeter: 10 length; interior: 108 degree.