Formula Index

# Perimeter of a Circle Formulas & Calculator

The perimeter of a circle can be calculated using one of the following 3 formulas: one if you know the radius, another if you know the diameter and finally another if you know the area of the circle.

If you know the radius of the circle (the line from the center to the edge), you can calculate its perimeter using the following formula:

$$"circumference" = pi * 2 * R$$

Circumference Result

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### Where:

$$pi = 3.141592653589$$
$$R = "circle radius"$$

## Formula Knowing the Diameter

If you know the diameter of the circle (the line that crosses the circle edge to edge through the center), you can calculate its perimeter using the following formula:

$$"circumference" = pi * D$$

Circle Diameter

Circumference Result

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### Where:

$$pi = 3.141592653589$$
$$D = "circle diameter"$$

## Formula Knowing the Area

If you know the area of the circle (the content space inside the circle), you can calculate its perimeter using the following formula:

$$"circumference" = sqrt(4 * pi * A)$$

Circle Area

Circumference Result

Copy paste the following code into your website HTML to display this formula and its calculator.

Our calculators are free to use and mobile friendly. By using them you agree to give attribution to "© WikiFormulas.com". A link is optional but appreciated. Thank you!

### Where:

$$pi = 3.141592653589$$
$$A = "circle area"$$

## Circle Definition

A circle is a shape or figure that is plane (2 dimensions) and perfectly round, with all points in the edge equidistant from the center.

The circle is a very basic geometric shape and a very common appearance in nature.

## Circumference Definition

The circumference is the perimeter of a continuously curved shape, including a circle. It is the line around the curved shape that marks its boundary.

See perimeter.

## Perimeter Definition

A perimeter is defined by the outer path of a shape. The shape is always in 2 dimensions. The perimeter is the total length of the exterior path. Another way of looking at this is to think of it as the boundary length of a shape.

In the case of a circle, the perimeter is called a circumference.

Perimeter has a Greek origin, "peri" means "around", and "meter" means "measure". So perimeter means "measure around".

## Formula Definition

A formula is a statement that defines the relationship between its elements, describing information in a defined way. Formulas can describe many things, including how something works, what something is made of, how to get the value of something, how variables interact or how to create a product.

When describing formulas in plural, it is also valid to say "formulae".

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