Do you need to get the perimeter of a circle and you are not sure how to do it? This is a very common geometric problem that can easily appear in your homework. math. You just have to know some values and apply a very simple mathematical formula, so don’t wait any longer and discover in this OneHowTo article the step by step about how to calculate the perimeter of a circle, as well as an example to explain it more clearly.
Steps to follow:
1
First of all, it is good that you understand the difference between circumference and circle, to avoid confusion or possible errors regarding these two geometric terms. So that:
- Circumference refers to the closed curve whose points are all equidistant from the center located in a plane.
- Circle is the area contained within the points of the circumference.
For this reason, it is not correct to say that we will calculate the perimeter of a circle, but it is appropriate to say that the perimeter of a circle will be calculated.
2
Having clarified this, the first thing you should take into account is what is the formula to calculate the length or perimeter of a circumference:
L = 2 π r
That is, we must multiply the number pi and the length of the radius of the circumference by two or, which would be the same, multiply pi by the diameter of the circumference, because the diameter measures twice the radius (and thus we omit multiplying it by two).
3
Let’s take an example to better understand how the formula is applied:
Suppose we must calculate the perimeter of a circle whose radius measures 6 cm, so we must substitute values in the appropriate place and then carry out the mathematical operations, that is, multiply.
L = 2 π r
L = 2 3.14 6 = 37.68 cm
Thus, we can say that the perimeter of a circumference of 6 cm radius is 37.68 cm.
4
In case they had given us the value of the diameter of the circumference for calculate its perimeter, we would know that this is 12 cm and therefore:
L = πd
L = 3.14 · 12 = 37.68 cm
In this way, we can see that the result is exactly the same as in the previous step and, therefore, we have carried out the mathematical calculation correctly.
5
On the other hand, if what you want is calculate the area of the circle, that is, how much is the area delimited by the circumference in square units, the formula that you will have to apply will be:
A = Π r²
Thus, we will try to multiply the value of pi by the radius squared; To do this, check out our article on how to get the area of a circle and you will see it step by step.
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