Calculating the Circumference of a Circle | Formula and Example

Circumference of Circle

The circumference of a circle is the distance around its outer boundary or perimeter

The circumference of a circle is the distance around its outer boundary or perimeter. It is the total length of the curved line that forms the circle.

The formula to calculate the circumference of a circle is:

C = 2πr

Where:
– C represents the circumference of the circle
– π (pi) is a mathematical constant that is approximately equal to 3.14159 (although it is an irrational number and has an infinite number of decimal places)
– r is the radius of the circle

The radius is the distance from the center of the circle to any point on its boundary. It is typically denoted by the letter ‘r’.

To find the circumference, you need to know the radius. If you have the diameter (the distance across the circle passing through its center), you can calculate the radius by dividing it by 2.

Let’s work through an example:
Suppose you have a circle with a radius of 5 units. Using the formula, you can find its circumference as follows:

C = 2πr
C = 2 * π * 5
C ≈ 2 * 3.14159 * 5
C ≈ 31.4159 units

Therefore, the circumference of a circle with a radius of 5 units is approximately 31.4159 units.

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