How to calculate the circumference of a circumference
Do you need to take out the circumference of a circle and do not know how to do it? This is a very common geometric problem that can easily appear in your math homework. You just have to know some values and apply a very simple mathematical formula, so do not wait any longer and discover in this step-by-step article about how to calculate the circumference of a circle, as well as an example to explain it more clearly.
Steps to follow:one
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 that it is appropriate to affirm that the perimeter of a circumference will be calculated.
two
Once this has been clarified, the first thing you must keep in mind is the formula to calculate the length or perimeter of a circumference:
L = 2 · π · r
That is, we must multiply by two the number pi and the length of the radius of the circumference or, what would be the same, multiply pi by the diameter of the circumference, because the diameter is twice the radius (and we omit multiplying it by two).
3
Let's give an example to better understand how the formula is applied:
Let us suppose that we must calculate the perimeter of a circumference whose radius measures 6 cm, so we must replace the values in the relevant place and then perform 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
If we had given the value of the diameter of the circumference to calculate its perimeter, we would know that it measures 12 cm and therefore:
L = π · d
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 correctly performed the mathematical calculation.
5
On the other hand, if you want to calculate the area of the circle, that is, how much is the area bounded by the circumference in square units, the formula you will have to apply will be:
A = Π · r²
Thus, we will try to multiply the value of pi by the radius squared; For this, see our article on how to take the area out of a circle and you will be able to see it step by step.
