The area of a circle is the number of square units inside the circle. To calculate the area of a circle you must first obtain or calculate the radius, that is, the distance from the center of the circle to the outside. The formula you must apply to calculate the area of a circle is: A = Π x r² And in this OneHowTo article we explain step by step how to find the area of a circle.
Steps to follow:
1
To explain in detail how to find the area of a circle, we will take an example so that it can be seen more clearly and is easier. So, suppose that the statement of the exercise asks us:
Find the area of a circle whose diameter is 38 centimeters.
2
In this way, we will have to calculate the radius of a circle knowing its diameter – the distance from one end of the circle to the other – and for this you must know that the radius is equal to the diameter divided by 2, that is, the radius measures half the diameter.
Mathematically, the formula would be:
r = D / 2
r = 38/2 = 19 cm
3
You should also know that the formula to obtain the area of the circle is equal to Pi times Radius squared:
A = Πr²
So now that you know the value of the radius, do you know how much the number pi is worth? Indeed, even if it is an immeasurable irrational number, we can approximate its value to 3.14 and thus apply the mathematical formula following our example:
A = Π x 19² = Π x 361 = 3.14 x 361 = 1133.54 cm²
4
As you can see, the formula for taking the area of a circle It is simple, easy to remember, and you only need the data of the radius of the circle. Typically, in mathematical problems where you must find the area of a circle, they will avoid giving you the measure of the radius, so it is necessary to also learn how to find it.
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