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:
|The distance around a circular object.
|The distance around any two-dimensional shape.
|Specific to circles and curved objects.
|Applies to all polygons and shapes.
|Measured in units such as inches, centimeters, or meters.
|Measured in units according to the shape, such as sides in a square or rectangles.
|C = 2πr (Circumference = 2 times pi times radius)
|Varies depending on the shape: square (4s) or rectangle (2 * length + 2 * width).
|Only relevant for circles.
|Applies to all types of regular polygons.
|Represents the curved length of a circle.
|May or may not include curves depending on the shape.
|Always expressed in linear units.
|Depends on the shape but could be in length units or linear units.
|Derived from the basic properties of a circle.
|Derived from the number of sides and their lengths in a polygon.
|Applied in various mathematical and real-life scenarios involving circles.
|Used in architecture, construction, and measurements of various shapes in real-life applications.
|A circle’s perimeter is also called the circumference.
|Perimeter refers to the total boundary distance of any shape, not just circles.
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.
People Also Ask:
- Q: What is the difference between circumference and diameter?
- Q: Can a shape have both circumference and perimeter?
- Q: How is perimeter different from area?
- Q: Can you find the perimeter of a 3D object?
- Q: What is the formula for perimeter of a triangle?
A: The circumference is the distance around a circle, while the diameter is the distance across the circle passing
through the center.
A: No, the term circumference is exclusively used for circular shapes, while perimeter is applicable to all shapes.
A: Perimeter measures the distance around a shape, while area calculates the amount of space within a shape.
A: No, perimeter is a measurement of two-dimensional shapes and does not apply to three-dimensional objects.
A: The perimeter of a triangle is calculated by adding the lengths of its three sides.