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Calculate the Perimeter of Any Polygon Easily

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How to Find the Perimeter of Regular and Irregular Polygons

Perimeter of Polygon Calculator – Free Online Tool with Formula, Steps & Examples

Perimeter of Polygon Calculator

What is Perimeter of Polygon Calculator?

A Perimeter of Polygon Calculator is an easy-to-use online tool that quickly computes the total boundary length of any polygon, whether regular (all sides equal) or irregular (sides can differ). Simply select the polygon type, enter the number of sides and input side lengths—the calculator handles the math instantly, saving time for students, teachers, and anyone dealing with geometry or perimeter problems. This tool helps you avoid mistakes in manual calculations and is especially useful for schoolwork as well as real-life situations like fencing land or construction projects.

Formula or Logic Behind Perimeter of Polygon Calculator

The perimeter of a polygon is the sum of the lengths of all its sides. There are two main scenarios:

Regular Polygon: All sides are equal. Formula: Perimeter = Number of Sides × Side Length.
Example: For a pentagon with 5 sides, each 8 cm: Perimeter = 5 × 8 = 40 cm.
Irregular Polygon: Side lengths can be different. Formula: Perimeter = Side₁ + Side₂ + ... + Sideₙ.
Example: For a 4-sided figure with sides 3, 7, 5, 6 m: Perimeter = 3 + 7 + 5 + 6 = 21 m.

By entering your values, the calculator applies the correct method for you!

Perimeter of Polygon: Common Examples Table

Polygon Type	Number of Sides	Side Length(s)	Perimeter
Equilateral Triangle (Regular)	3	6 cm	18 cm
Square	4	5 cm	20 cm
Rectangle	4	8 cm, 5 cm, 8 cm, 5 cm	26 cm
Pentagon (Regular)	5	10 m	50 m
Pentagon (Irregular)	5	4, 5, 6, 6, 7 m	28 m
Hexagon (Regular)	6	9 mm	54 mm
Octagon (Regular)	8	3 cm	24 cm

Steps to Use the Perimeter of Polygon Calculator

Choose whether your polygon is regular (all sides same) or irregular (different sides).
Enter the number of sides the polygon has (minimum 3).
For regular: Enter the common side length. For irregular: Enter all side lengths separated by commas.
Click the 'Calculate' button.
View your result instantly with solution breakdown.

Why Use Vedantu’s Perimeter of Polygon Calculator?

Vedantu’s Perimeter of Polygon Calculator is easy to use, works seamlessly on both mobile and desktop, and is trusted by students and teachers across India. It gives instant, accurate perimeter calculations for any polygon, supports stepwise explanations, and is aligned with school, board, and competitive exam standards. Whether you’re working on homework, preparing for an exam, or checking real-life measurements, this calculator saves time and boosts your Math confidence.

Real-life Applications of Perimeter of Polygon Calculator

Calculating the perimeter of polygons comes up often in academic assignments and daily life:

Measuring the fencing needed for a garden, playground, or a plot of land (typically an irregular polygon).
Designing and tiling floors or walls where boundaries are polygonal shapes.
Construction projects involving polytunnels, boundary walls, or road layouts.
Crafts and DIY activities where shapes are cut to size (e.g., making octagonal tables or frames).
Solving Math word-problems for exams or Olympiads.

This calculator makes all these tasks quicker and error-free!

For more geometry help, check out these useful Vedantu resources: Perimeter of Square, Area and Perimeter, Octagon, Difference Between Square and Rectangle, Prime Numbers.

FAQs on Calculate the Perimeter of Any Polygon Easily

1. What is the perimeter of a polygon?

The perimeter of a polygon is the total distance around its outer edges. It's essentially the sum of the lengths of all its sides. Understanding perimeter is crucial for solving many geometry problems and real-world applications.

2. What is the formula for the perimeter of a regular polygon?

For a regular polygon (where all sides are equal), the perimeter is calculated by multiplying the length of one side by the number of sides. The formula is: Perimeter = n × side, where 'n' is the number of sides and 'side' is the length of one side.

3. How do I calculate the perimeter of an irregular polygon?

To find the perimeter of an irregular polygon (where sides have different lengths), you simply add up the lengths of all its sides. There's no single formula; it's a straightforward summation: Perimeter = sum of all sides.

4. What is the perimeter of a polygon with sides 5cm, 7cm, and 9cm?

This is an irregular polygon. To find its perimeter, add the lengths of all sides: 5cm + 7cm + 9cm = 21cm. The perimeter is 21cm.

5. How do you find the perimeter of a regular hexagon with a side length of 4cm?

A hexagon has six sides. Using the formula for a regular polygon (Perimeter = n × side), the perimeter is 6 sides × 4cm/side = 24cm.

6. What is the perimeter of a square with sides of 10m?

A square is a regular polygon with four equal sides. Therefore, the perimeter is 4 sides × 10m/side = 40m.

7. Can you calculate the perimeter of a polygon if one side is missing?

No, you cannot directly calculate the perimeter of a polygon if one or more side lengths are unknown. You'll need additional information, such as the area and other side lengths, or the properties of the polygon, to find the missing side.

8. How is the perimeter of a polygon used in real life?

Perimeter calculations are essential in many real-world scenarios. Examples include determining the amount of fencing needed for a yard, calculating the length of trim for a room, or figuring out the distance around a track. The concept applies to construction, landscaping, and many other fields.

9. What is the difference between perimeter and area?

Perimeter measures the distance around a shape, while area measures the space enclosed within the shape. Perimeter is measured in units of length (cm, m, etc.), whereas area is measured in square units (cm², m², etc.). They are distinct concepts despite both relating to geometric figures.

10. How can I use a perimeter of polygon calculator?

A polygon perimeter calculator simplifies the process. You typically input the type of polygon (regular or irregular) and the lengths of its sides. The calculator then automatically sums the sides to give you the perimeter. Online calculators often include step-by-step explanations.

11. What are some real-world applications of polygon perimeter calculations?

Real-world applications are numerous and varied. Examples include: calculating the amount of fencing needed for a garden, determining the amount of material required for a border or frame, measuring the distance around a building, and planning layouts for projects involving geometric shapes.

12. How to calculate the perimeter of a pentagon?

If it's a *regular* pentagon (all sides equal), multiply the length of one side by 5 (the number of sides). If it's an *irregular* pentagon, add the lengths of all five sides together to find the perimeter.