How To Find The Perimeter Of A Circle

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Geometry has always played a major role in mathematics, physics, and other science fields. It is a field and is still heavily studied to date. Among many other sources, the foundation of geometry can be traced to the circle, and as such, the latter plays a major role in mathematics and Geometry studies.

As a student, the first step to understanding the workings of the Circle shape starts with understanding its basic measurement, which is its perimeter. The perimeter of the circle is considered one of the basic mathematical computations as it requires only several steps to calculate. However, it is essential to understand some basic definitions that concern the mathematical computation of the triangle, and this article will highlight all of them.

Perimeter of a Circle formula

The perimeter of a complete circle is defined as the total length around it. The perimeter of the process is also known as the circumference of the circle and is calculated in centimeters (CM). The formula is denoted as;


The circumference of the circle is the perimeter of the circle.

The entire perimeter of the circle is the entire length of the shape.

The Radius

The radius is simply the quarter of the circle in terms of measurement. It is only responsible for ¼ of the entire measurement.

The Diameter

The diameter is responsible for the half of the circle. As such, it is twice the radius, and it is why it is denoted as;

How to Calculate the Perimeter of a Circle?

Below are the steps to calculate the perimeter of a circle

Step 1: write out the formula computation

Step 2: Calculate the Diameter, which is 2 multiplied by the radius i.e 2r

Step 3: Compute the Perimeter of the circle

Calculating the Perimeter of a Circle with Examples

Example 1

Consider the circle below and compute its perimeter.


From the circle, it is obvious that the diameter is 24cm. so computing the circle perimeter is possible

Step 1: write out the formula computation.

Since the diameter is available, then the second formula is most preferable, and step 2, which requires the calculation of the radius, will not be necessary.

Step 3: Compute the Perimeter of the circle

The computation for the above circle has been calculated.

Example 2

Now let us assume that, for the example 1, it was the radius that was available at 12 cm. Then the best formula will be the first one which is given as

The answer is the same as the first.

Example 3

A JLK Benz perfect circular front tyre was punctured by a nail. A wheel fixer who does not have the exact brand wheel sought to fix an alternative wheel. However, to do so, he will need to know the circumference of the Puncture wheel, which is not available. However, using a straight ruler, the fixer was able to find that the tyre diameter was 41cm. How does he find the perimeter?


Irrespective of the surrounding word for this example. The simple perimeter formulae will still be effective for calculating the perimeter. Since it is the diameter that was given, the best formula will be


Calculating the perimeter of a circle is one of the easiest computations for most students. Just like the perimeter of most shapes, it is very straightforward, and what students need to do is simply follow the steps outlined in the article.

Generally, the calculation of the circle is not in any way difficult, and while there is several mathematical software that students can use to find it, it is almost unnecessary because it is very basic. In most cases, once the diameter or radius is available, then it can be easily identified.

This article considered two examples to emphasize the calculations and the steps that students generally need to take. It is important for the students to know that calculating the area will be the next step after the perimeter of the circle.

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