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Perimeter vs. Circumference: Know the Difference

Shumaila Saeed
By Shumaila Saeed || Updated on December 25, 2023
The perimeter is the total length of all sides of a flat shape, while circumference specifically refers to the distance around a circle.
Perimeter vs. Circumference

Key Differences

Perimeter is a term used in geometry to describe the total length around a two-dimensional shape, such as a square or rectangle. In contrast, circumference is specifically used to refer to the distance around the edge of a circle.
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The concept of perimeter applies to any polygon, regardless of the number of sides, and can be used in various geometric calculations. Circumference, however, is a concept that only applies to circles and is a key element in circular geometry.
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The units used for measuring both perimeter and circumference are the same, generally linear units like meters or feet. However, the methods of measurement differ due to the distinct shapes involved.
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In practical applications, perimeter is often used to determine the boundary length of land plots or floor plans, while circumference is crucial in calculations involving wheels, circular tracks, or any circular objects.
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Comparison Chart

Definition

Total length around a shape
Distance around a circle
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Application

Used for any polygon
Specific to circles
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Calculation Method

Sum of all sides' lengths
2πr or πd
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Relevance in Geometry

Fundamental for all polygons
Specific to circular geometry
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Practical Use Examples

Measuring boundaries of land, floor plans
Measuring wheels, circular tracks
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Perimeter and Circumference Definitions

Perimeter

The perimeter of a polygon is the measurement of its outer line.
The perimeter of a square park is 400 meters.
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Circumference

The circumference of a circle is the total length around it.
The circumference of a wheel is 94.2 centimeters.
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Perimeter

The perimeter of a rectangle is equal to the sum of all four sides.
The perimeter of a 4m by 6m rectangle is 20 meters.
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Circumference

Circumference is the total length encircling a circle.
The pipe's circumference is crucial for fitting.
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Perimeter

Perimeter refers to the total length of a shape's sides.
To fence a triangular garden, measure its perimeter.
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Circumference

Circumference is the perimeter of a circle.
The circumference of this circular garden is 31.4 meters.
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Perimeter

Perimeter is the total length of the boundary line of a shape.
The perimeter of our hexagonal plot is 72 feet.
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Circumference

The circumference measures the boundary of round objects.
The circumference of the pizza is 40 inches.
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Perimeter

Perimeter is the distance enclosing a shape.
The perimeter of the field is 250 meters, requiring that much fencing.
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Circumference

Circumference is the length of a circle's edge.
The circumference of a circular track is 400 meters.
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Perimeter

A closed line bounding a plane area.
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Circumference

The boundary line of a circle.
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Perimeter

The length of such a line.
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Circumference

The boundary line of an area or object.
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Perimeter

The outer limits of an area.
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Circumference

Abbr. c or circ. The length of such a line.
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Perimeter

A defended boundary protecting a military position.
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Circumference

The margin or area surrounding something.
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Perimeter

(Basketball) The three-point line.
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Circumference

(geometry) The line that bounds a circle or other two-dimensional figure Category:en:Curves
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Perimeter

(mathematics) The sum of the distance of all the lengths of the sides of an object.
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Circumference

(geometry) The length of such a line
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Perimeter

(mathematics) The length of such a boundary.
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Circumference

(obsolete) The surface of a round or spherical object
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Perimeter

The outer limits of an area. circumference
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Circumference

(graph theory) The length of the longest cycle of a graph
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Perimeter

A fortified strip or boundary usually protecting a military position.
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Circumference

To include in a circular space; to bound.
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Perimeter

An instrument for determining the extent and shape of the field of vision.
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Circumference

The line that goes round or encompasses a circular figure; a periphery.
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Perimeter

The outer boundary of a body or figure, or the sum of all the sides.
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Circumference

A circle; anything circular.
His ponderous shield . . .Behind him cast. The broad circumferenceHung on his shoulders like the moon.
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Perimeter

An instrument for determining the extent and shape of the field of vision.
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Circumference

The external surface of a sphere, or of any orbicular body.
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Perimeter

The boundary line or the area immediately inside the boundary
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Circumference

To include in a circular space; to bound.
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Perimeter

A line enclosing a plane areas
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Circumference

The size of something as given by the distance around it
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Perimeter

The size of something as given by the distance around it
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Circumference

The length of the closed curve of a circle
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Repeatedly Asked Queries

What is a perimeter?

The total length of all sides of a polygon.
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What is a circumference?

The distance around the edge of a circle.
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How do you calculate the perimeter of a rectangle?

Add the lengths of all four sides.
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Can the perimeter be used for circles?

No, for circles, the term circumference is used.
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Is the circumference always related to circles?

Yes, it exclusively refers to the boundary of a circle.
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How is the circumference of a circle determined?

Use the formula C=2πr or C=πd.
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Can the perimeter be the same for different shapes?

Yes, different shapes can have the same perimeter.
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Is the circumference a type of perimeter?

It can be considered a specific case of a perimeter for circles.
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What units are used for measuring perimeter and circumference?

Linear units like meters, feet, or inches.
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How do you find the perimeter of an irregular shape?

Measure and sum the lengths of all its sides.
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Does circumference have practical uses?

Absolutely, in fields like engineering and design of circular objects.
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How does geometry use perimeter and circumference?

For calculations in shape analysis and spatial measurements.
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Can you use diameter to find circumference?

Yes, using the formula C=πd.
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Why are perimeter and circumference important in math?

They are key concepts in understanding and calculating spatial properties.
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What shapes have both perimeter and circumference?

Only circles, where their circumference is their perimeter.
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Can a square and circle have the same perimeter/circumference?

Yes, if the total lengths of their boundaries are equal.
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Is perimeter important in real-life applications?

Yes, for tasks like fencing a yard or outlining a floor plan.
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What role does radius play in finding circumference?

The radius is essential for calculating circumference using 2πr.
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Are there any tools to measure perimeter and circumference?

Measuring tapes, rulers, and mathematical formulas are commonly used.
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Do perimeter and circumference have the same formulas?

No, they have different formulas based on the shape.
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About Author
Shumaila Saeed
Written by
Shumaila Saeed
Shumaila Saeed, an expert content creator with 6 years of experience, specializes in distilling complex topics into easily digestible comparisons, shining a light on the nuances that both inform and educate readers with clarity and accuracy.

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