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  1. Home
  2. Math Calculators
  3. Perimeter Calculator

Perimeter Calculator

Calculate the perimeter of 7 geometric shapes instantly — rectangle, square, triangle, circle, parallelogram, trapezoid, and regular polygon. Free online calculator with animated SVG previews, area bonus, and full step-by-step solutions.

What is Perimeter Calculator?

The perimeter is the total distance around the outside of a two-dimensional shape. It is found by adding together the lengths of all the sides. For a circle, the perimeter is called the circumference. Calculating perimeters is fundamental in geometry, construction, and everyday tasks such as measuring fencing for a garden or trim for a room. Our perimeter calculator handles seven common shapes — rectangles, squares, triangles, circles, parallelograms, trapezoids, and regular polygons — giving you instant results with animated visuals and full step-by-step solutions.

Formula

Rectangle: P = 2(l + w)
Square: P = 4s
Triangle: P = a + b + c
Circle: C = 2πr
Parallelogram: P = 2(a + b)
Trapezoid: P = a + b + c + d
Regular polygon: P = n × s

How to Calculate

  1. Identify the shape and its known side lengths.
  2. Select the appropriate perimeter formula for that shape.
  3. Substitute the known values into the formula.
  4. Perform the arithmetic to get the perimeter.
  5. Express the result in the correct unit of length.

Example

A rectangle with length = 8 m and width = 5 m has a perimeter of 2 × (8 + 5) = 2 × 13 = 26 m.

Key Benefits

  • Supports seven common geometric shapes in one tool
  • Animated SVG shape previews with real-time dimension updates
  • Full step-by-step solutions showing every formula substitution
  • Also computes area as a bonus for supported shapes
  • Mobile-responsive floating labels and controls
  • One-click copy of results for sharing or notes
  • Works instantly in your browser — no downloads required

Common Mistakes to Avoid

  • Confusing perimeter with area — perimeter is a length, not a surface measure.
  • Forgetting to use the same unit for every side before adding.
  • Using the diameter instead of the radius for circle circumference.
  • Omitting one side when summing the sides of a triangle or polygon.
  • Treating a parallelogram perimeter as 2 × base × height instead of 2(a + b).
  • Assuming all sides of a trapezoid are equal without checking the given values.

Pro Tips

  • Draw the shape and label each side before calculating.
  • For a circle, remember that π ≈ 3.14159 for quick mental estimates.
  • Double-check units — convert centimeters to meters or inches to feet when needed.
  • For irregular shapes, walk the perimeter with a measuring tape for accuracy.
  • Use the perimeter result to check whether a fence or frame will fit.
  • Practice with real-world objects like doors, windows, or tabletops.

Key Terms Explained

Perimeter — the total distance around a closed two-dimensional shape.
Circumference — the perimeter of a circle.
Regular polygon — a polygon with all sides and angles equal.
Trapezoid — a quadrilateral with exactly one pair of parallel sides.
Dimension — a measurable extent such as length, width, or height.
Unit — the standard of measurement used for a side length (m, cm, ft, in).
Area — the surface enclosed within a shape, distinct from its perimeter.
Base — the bottom side of a polygon, often used as the reference side.

When to Use This Calculator

  • You need to find the total length of boundary around any flat shape.
  • You are planning to buy fencing, trim, or edging material.
  • You want to verify the dimensions of a physical object by measuring its outline.
  • You are solving a geometry homework problem requiring perimeter calculation.
  • You need to compare the boundary lengths of different shapes or layouts.

Common Use Cases

  • Measuring fencing or borders around a garden or yard
  • Calculating the frame length needed for a painting or photograph
  • Determining the distance around a running track or sports field
  • Estimating baseboard or crown molding for room renovation
  • Sizing ribbon or edging for craft and sewing projects
  • Planning walkway or driveway perimeters in landscape design
  • Verifying CAD or architectural drawing dimensions

Frequently Asked Questions

What is the difference between perimeter and circumference?
Perimeter is the general term for the distance around any polygon. Circumference is the specific term used for the perimeter of a circle.
Can I use this calculator for irregular shapes?
This tool supports seven standard geometric shapes. For irregular polygons, add the lengths of each individual side manually.
Does the calculator handle different units?
Enter all side lengths in the same unit. The result will be in that same unit. For example, use meters throughout, then convert if needed.
Why is the perimeter of a circle called circumference?
The word circumference comes from the Latin circumferentia, meaning carrying around, which describes the act of tracing a circle's boundary.
How accurate are the results?
Results are calculated to full double-precision floating-point accuracy. For π, the calculator uses a high-precision value, not just 3.14.

Related Tools

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Equation Solver
85
Rectangle
Perimeter
26
Area
40
Step-by-Step Solution
1

Given dimensions

2

Perimeter formula

3

Substitute values

✓

Calculate the result