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Mathematics

Perimeter Calculator

Use this perimeter calculator to find the outside boundary length of common shapes and convert the result into metres, feet, or the selected unit.

perimetercircumferencegeometryperimeter calculatorcircumference calculatorrectangle perimeter

Calculator

Calculate instantly

P = 2(l + w)
The calculator switches formulas by shape and converts the final boundary length into common units.
  1. Each shape has its own perimeter rule.
  2. The calculation uses the dimensions visible for the selected shape.
  3. The selected unit result is normalized to metres and feet for comparison.

Inputs

Shape and dimensions

Choose a shape, enter its dimensions, and convert the perimeter into common length units.

Breakdown

Clear result breakdown

Review the values that explain the primary result.

Selected shape

Rectangle

Perimeter in selected unit

40 m

Perimeter in metres

40 m

Perimeter in feet

131.2336 ft

Visual comparison

Perimeter conversion

The same boundary length is shown in selected units, metres, and feet.

The same boundary length is shown in selected units, metres, and feet.

Practical guidance

Insights for this scenario

Perimeter is not area

Perimeter measures distance around the outside. Area measures surface coverage inside the shape.

Triangle sides are checked

A triangle must satisfy the triangle inequality before the perimeter is meaningful.

Circle perimeter is circumference

For circles, perimeter is normally called circumference and can be calculated from radius or diameter.

Step-by-step solution

Follow the calculation path from known values to final result.

  1. 1

    Choose the correct shape formula

    Each shape has its own perimeter rule.

    P = 2(l + w)

  2. 2

    Add or multiply the boundary dimensions

    The calculation uses the dimensions visible for the selected shape.

    40 m

  3. 3

    Convert units

    The selected unit result is normalized to metres and feet for comparison.

    40 m

Formula explorer

P = 2(l + w)

The calculator switches formulas by shape and converts the final boundary length into common units.

l(selected length unit)
Length: Longer rectangle side.
w(selected length unit)
Width: Shorter rectangle side.
r(selected length unit)
Radius: Distance from circle centre to edge.
n
Number of sides: Side count for a regular polygon.

Assumptions and references

Units

  • m

Assumptions

  • All entered dimensions use the selected unit.
  • Shapes are ideal geometric models.
  • Regular polygon sides are equal in length.

Limitations

  • Confusing perimeter with area.
  • Using diameter in a radius formula.
  • Entering triangle sides that cannot form a triangle.
  • Results depend on the accuracy of the values entered.
  • Rounding may make displayed values slightly different from exact intermediate calculations.

Worked examples

Easy

Rectangle perimeter

Known values

  • Length: 12 m
  • Width: 8 m

Calculation

  • 1. Add length and width.
  • 2. Double the sum.
  • 3. 2 x (12 + 8) = 40.

Result and meaning

The perimeter is 40 m.

Learning guide

Understand the calculation

Concepts

  • Perimeter is the outside boundary length.
  • Circle perimeter is circumference.
  • Regular polygon perimeter is number of sides times side length.

Tips

  • Use the same unit for all dimensions.
  • Check triangle side lengths before calculating.
  • Use area calculators when you need surface coverage.

Common mistakes

  • Confusing perimeter with area.
  • Using diameter in the radius formula.
  • Entering triangle side lengths that cannot form a triangle.

Educational notes

  • The calculator switches formulas by shape, validates dimensions such as triangle side lengths, and converts the final boundary length into common units.
  • Rectangle perimeter is 2(l + w).
  • Circle perimeter is circumference.
  • Triangle side lengths must satisfy the triangle inequality.

Glossary

Length
Longer rectangle side.
Width
Shorter rectangle side.
Radius
Distance from circle centre to edge.
Number of sides
Side count for a regular polygon.

Trust panel

Calculator quality and review

Reviewed by
AZCalculate mathematics education review
Review date
2026-06-25
References
2
Trust score
94/100
Formula verified
Yes
Risk level
low
Category
Mathematics
Calculator version
2.1
Formula version
2.1

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Trust note

Clear calculation guidance

This calculator follows the shown formula and is intended for everyday reference, learning, and quick checks.

Low risk contextDifficulty: easyConfidence estimate: 94/100Reviewed 2026-06-25Reviewed by: AZCalculate mathematics education reviewCalculator v2.1 / Formula v2.12 sources listed

References

Sources used for this calculator

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Calculator usage

Usage information loads after the calculator is ready.

FAQ

Perimeter Calculator FAQs

How does the perimeter calculator work?+

It uses Perimeter = sum of side lengths and calculates the result from the values you enter.

Can I copy or print the result?+

Yes. AZCalculate calculator pages include copy, share, and print actions.

What is perimeter?+

Perimeter is the total distance around the outside boundary of a shape.

Is perimeter the same as area?+

No. Perimeter measures boundary length, while area measures surface coverage inside the shape.

How do I calculate rectangle perimeter?+

Add length and width, then double the sum: P = 2(l + w).

How do I calculate triangle perimeter?+

Add the three side lengths: P = a + b + c. The side lengths must be able to form a valid triangle.

What is the perimeter of a circle called?+

For a circle, perimeter is usually called circumference. Use C = 2pi r from radius or C = pi d from diameter.

Can I calculate regular polygon perimeter?+

Yes. Multiply the number of sides by the side length: P = n x s.

Can I switch units?+

Yes. Enter dimensions in millimetres, centimetres, metres, kilometres, inches, feet, or yards and compare converted results.

Why is my triangle rejected?+

A valid triangle requires each pair of sides to be longer than the remaining side. This is called the triangle inequality.

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