# 10 Differences Between circumference and perimeter

Difference Between Circumference and Perimeter

# Difference Between Circumference and Perimeter

## What is Circumference?

The circumference is a measurement of the distance around a closed curve or a circular object. It represents the length of the curve
that forms the boundary of the circle.

### Examples of Circumference:

• Measuring the outer edge of a bicycle wheel.
• Determining the distance around the rim of a pizza.

### Uses of Circumference:

• Calculating the length of a circular race track.
• Determining the amount of fencing needed for a circular garden.

## What is Perimeter?

The perimeter is a measurement of the distance around any two-dimensional shape. It represents the total length of all sides of a figure.

### Examples of Perimeter:

• Calculating the length of a rectangular room by measuring all four sides and adding them together.
• Determining the distance around a soccer field, including both the length and width.

### Uses of Perimeter:

• Estimating the amount of material needed to create a fence around a backyard.
• Calculating the quantity of wallpaper required to cover the walls of a room.

## Differences between Circumference and Perimeter:

Difference Area Circumference Perimeter
Definition The distance around a circular object. The distance around any two-dimensional shape.
Shape Types Specific to circles and curved objects. Applies to all polygons and shapes.
Measurement Measured in units such as inches, centimeters, or meters. Measured in units according to the shape, such as sides in a square or rectangles.
Formula C = 2πr (Circumference = 2 times pi times radius) Varies depending on the shape: square (4s) or rectangle (2 * length + 2 * width).
Regular Polygons Only relevant for circles. Applies to all types of regular polygons.
Curves Represents the curved length of a circle. May or may not include curves depending on the shape.
Units Always expressed in linear units. Depends on the shape but could be in length units or linear units.
Derivation Derived from the basic properties of a circle. Derived from the number of sides and their lengths in a polygon.
Application Applied in various mathematical and real-life scenarios involving circles. Used in architecture, construction, and measurements of various shapes in real-life applications.
Shape Perimeter A circle’s perimeter is also called the circumference. Perimeter refers to the total boundary distance of any shape, not just circles.

### Conclusion:

In conclusion, while both circumference and perimeter relate to the distance around shapes, circumference is specifically
associated with circles and curved objects, while perimeter can be applied to any two-dimensional figure. Additionally,
the formulas, units, and uses of these measurements differ depending on the shape being measured.

• Q: What is the difference between circumference and diameter?
• A: The circumference is the distance around a circle, while the diameter is the distance across the circle passing
through the center.

• Q: Can a shape have both circumference and perimeter?
• A: No, the term circumference is exclusively used for circular shapes, while perimeter is applicable to all shapes.

• Q: How is perimeter different from area?
• A: Perimeter measures the distance around a shape, while area calculates the amount of space within a shape.

• Q: Can you find the perimeter of a 3D object?
• A: No, perimeter is a measurement of two-dimensional shapes and does not apply to three-dimensional objects.

• Q: What is the formula for perimeter of a triangle?
• A: The perimeter of a triangle is calculated by adding the lengths of its three sides.