Perimeter of a Polygon Calculator
With this perimeter of a polygon calculator, you'll quickly calculate — surprise, surprise - the perimeter of a regular polygon. To avoid confusion, we present the easiest option, where all you need to do is choose the polygon type and enter its side length. Other formulas for the perimeter of a polygon exist, too — you can use our general polygon calculator to find the polygon perimeter from other parameters.
Perimeter of a polygon formula
To calculate the perimeter of a regular polygon, simply multiply the number of sides n times the side length a:
perimeter = n × a
If you want to determine the perimeter of any polygon, sum the lengths of all its sides:
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perimeter = Σ aᵢ
where a₁, a₂, ..., an are consecutive sides lengths
Σ is the sum symbol (from i = 1 to n)
Or use the vertices coordinates:
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perimeter = Σ√[(xᵢ₊₁ - xᵢ)² + (yᵢ₊₁ - yᵢ)²]
with x(n+1) → x(1) and y(n+1) → y(1)
How to find the perimeter of a polygon?
Have a look at this easy example:
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Pick the polygon type. Suppose we want to calculate the perimeter of an octagon shape.
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Type the number of sides. We've chosen the other... option, so we need to manually enter the number of sides. It's 8.
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Enter the side length. Assume it's 17 in.
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Voilà! The perimeter of a polygon calculator shows the result. The perimeter of such an octagon is equal to 136 in.
Now that you know how to find the perimeter of a polygon, are you curious about how to calculate its area? Then check out our area of a regular polygon calculator.
Maybe you're interested in calculating the perimeter of a circle instead of a polygon? Then our circle perimeter calculator is what you need.
FAQs
- What does the Perimeter of a Polygon Calculator do?
- How to find the perimeter of a polygon? What is the perimeter of a polygon formula? This perimeter of a polygon calculator has the answer! Use the calculator above for instant results in your browser.
- Is the Perimeter of a Polygon Calculator free to use?
- Yes. All Try To Calculator tools are free and do not require an account.
- Are my inputs stored or sent to a server?
- No. Calculations run locally in your browser. We do not collect the numbers you enter or the results shown.
- Can I use the Perimeter of a Polygon Calculator for professional decisions?
- This tool is for education and quick estimates. For medical, legal, tax, or financial decisions, verify results with a qualified professional.
- Where can I find related calculators?
- Browse more Math tools on Try To Calculator at /math, or use the related calculators section on this page.
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