# How to find Area of a Circle in 5 Easy Steps

Get the free Area of a Circle worksheet and other resources for teaching & understanding how to find Area of a Circle

## What is the Area of a Circle formula?

The Area of a Circle is all of the area that is inside of a circle. The Area of a Circle Formula states that Area is equal to pi time the radius squared. Usually you find the area of a circle using radius but sometimes you will have to find the Area of a Circle with diameter. The diameter is twice as long as the radius, or the radius is half of the diameter. The formula for how to find Area of a Circle is area equals pi times the radius squared. If you have the area of a circle with diameter that means that you have to divide the diameter by two to get the radius. Once you have the radius you can use the Area of a Circle formula. When simplifying you need to do follow the order of operations. You must square the radius and then multiply it times pi.

Common Core Standard: 7.G.5 ## Here the guide to finding Area of a Circle with Diameter

Read the short guide below to learn how to find the area of circle.

The Area of a Circle is the area that is within a circle. Typically you discover the area of a circle utilizing the radius of the circle, however you can discover the Area of a Circle with diameter. The diameter is twice the length of the radius, in other words, the radius is half of the diameter. The equation for how to discover Area of a Circle is pi times the radius squared equals the area. In the event that you have to find the area of a circle with diameter you have to divide the diameter by two. Then you can utilize the Area of a Circle equation.

## 5 Easy Steps for finding the Area of a Circle

1. Use the Area of a Circle Formula: Area equals pi time the radius squared.
2. The first step is to square the radius.
3. Then you multiply the square of the radius times pi. (3.14)
4. After you do that make sure you check your units and ensure that they are correct.
5. If the circle gives you the diameter then you should divide it by two first.

## Finding Area of a Circle Practice Problems Quiz

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Area of a Circle Quiz

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## Watch the video explanation of our Area of a Circle Worksheet

Watch our free video on How to find Area of a Circle. This video shows how to solve problems that are on our free finding the Area of a Circle worksheet that you can get by submitting your email above.

Watch the free How to find Area of a Circle video on YouTube here: Area of a Circle Video

Video Transcript:

This video is about how to find the area of a circle. You can get the 7th grade area of a circle worksheet used in this video for free by clicking on the link in the description below.

Finding area of circle of a circle you have to use the area of a circle formula. This circle area formula says that the area of a circle is equal to pi times the radius squared. The radius is from the middle point of the circle to the outer edge. It does not matter which way you draw the radius because the distance from the center of the circle to the outer edge will be equal no matter where you draw it.

Now let’s say you’re told that the radius is 4 inches. You will take this information and you will substitute it into the formula where radius is supposed to go. So your formula will change from pi r squared into pi times the radius, which in this case is 4, squared and then you simplify 4 times 4. 4 squared which is 16 and then you do pi times 16, which is equal to 50.27 inches squared.

Let’s try a couple practice problems on our area of a circle worksheet. Problem number one to practice how to find area of circle gives us 5 inches for the radius. Now we know the circle formula area equals pi times the radius squared. In this case we know the radius is 5 inches and I know it’s referring to the radius because it’s only half of the circle. If it went all the way across that would be the diameter, but in this case because it’s only half, that’s going to be the radius. We know the radius is 5 inches so we’re going to say radius equals 5, and now we can substitute 5 in for where the radius used to be. So we’re going to take our formula which is area equals pi times the radius, which in this case is 5 squared, then order of operations says we do 5 squared so we do pi times 5 squared which is 25. And then we do pi times 25 which gives us 78.55 inches squared and that’s going to be our solution.

Moving on to the fourth problem on our area of a circle worksheet it gives us 22 centimeters for the diameter. So this time we are figuring out area of a circle with diameter. I know its diameter because the line goes all the way across the circle, so because it goes all the way across that’s referring to the diameter. We know this time that we’re going to be using or we’re going to be starting with the diameter. In this case the diameter is equal to 22 centimeters. Now if you remember diameter is twice the radius which means in order to get the radius you have to take the diameter and divide it by 2. S the diameter, which is 22 divided by 2 is 11, so 22 divided by 2 is 11. We know the radius now is 11 and we can take the radius which is 11 and now we can substitute it in for r in our area formula. We have area equals pi times the radius which in this case is 11 squared. Then you’re going to square 11 so 11 times 11 is 121 and then you’re going to do pi times 121 and then pi times 121 is 380.13 centimeters squared. If you’re finding area of a circle with diameter you just have the extra step of dividing diameter by two to get the radius.

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