**What You'll Learn?**

# 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 = 2Ï€r (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 circleâ€™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.

### 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.