Circumference Calculator
Using a circumference calculator is important as it helps identify and solve mathematical problems. It verifies your work and makes calculations faster.
The circumference calculator is a free mathematical tool used to determine a circle’s circumference, area, diameter, sphere volume, radius, and sphere surface area. Asides from the fact that it is free, it also offers the exact answers to your calculations.
There are multiple online calculators to help you compute the circumference of a circle. While it might seem easy to just punch in the numbers and get a result, understanding how they work can help you validate the answers produced.
To help you with the right information you need, we’ve come up with this article, and we hope it will be a great guide for you.
What is a circumference calculator?
A circumference calculator is a simple and easy-to-use online tool that helps to determine the circumference and radius. It also finds the diameter, area etc. When you need to solve any geometry-related problem, the circumference calculator is your go-to tool.
When calculating the circumference using the circumference calculator, the value of the radius or diameter is usually given.
What is a circumference?
When we say circumference, we simply mean the distance surrounding the outer part of a circle. In other words, we could say a circumference is the perimeter of a circle. While the circumference is used for circles, the perimeter is used for polygons.
Asides from the circumference, there are two other distances on a circle – the diameter and radius. The distance from one part of the circle to the other is known as the diameter, and the radius is half the diameter distance.
Formula for circumference
To get the formula for calculating circumference, simply multiply 2,π, and the radius. Therefore circumference of a circle equals 2πr which could otherwise be written as C = 2πr
Breaking it down into its simple form:
- C signifies the circumference of the circle
- π is a constant, with “3.14” as its decimal representation.
- r signifies the radius of the circle
With the above, all you have to do is input the values into the circumference formula calculator, and you get your answer instantly.
How to use the circumference calculator
As we mentioned earlier, the circumference calculator is a simple and easy-to-use tool. It calculates your work very fast, plus it gives you quick answers. To use this tool, all you need do is follow these simple steps below:
- Put in the radius where necessary.
- Press the solve button.
- You’ll get the result showing you the circumference.
How to calculate the circumference of a circle
From the previous subheadings, we’ve learnt what the circumference of a circle is and the formula to calculate it. Let’s now find the circumference of a circle using the example below.
Example:
Given the diameter of a circle to be 14cm, find its circumference.
To solve this, we’ll use the circumference formula, which is 2πr and simply insert the values.
Here, π =3.14, r = 14÷2 = 7
Therefore, 2 × 3.14 × 7 = 43.9 inches
It is worth noting that circumference is measured in inches.
Calculating circumference to diameter
Here, the circumference will be given, and from it, we calculate the diameter. To do this, input the values into the circumference calculator. Both diameter and circumference have a close relationship with π, which means with π, we can get our diameter from the circumference. Since C = πd
Then C÷π = d
This means to get the diameter, all we need to do is use π to divide the circumference.
Example:
A circle with a circumference of 18 feet, find its diameter.
Solution:
With the above formula where D = c÷π
Inserting the values into the formula becomes: D = 18 feet ÷ 3.14
D = 5.732 feet.
Calculating diameter to circumference
In most situations, when calculating the circumference, it’s usually the radius we’re given. However, there is a way we can directly calculate the circumference using the diameter with the formula C = πd.
Firstly, know your diameter; it should be a positive value else you can’t go forward with the calculation. Then, multiply the diameter with π to get the circumference.
Other parameters calculated by the circumference calculator
The circumference of a circle is not the only thing you can calculate with the circumference Calculator. There are other parameters this great tool helps in calculating; they are:
What is a radius of a circle
The line that runs from the centre to the circumference of a circle is what is known as the radius. Usually, when the line is two, we refer to them as radii; these lines are usually of the same length.
The formula for finding radius varies: When given the diameter, radius = d÷2; here, the “d” is the diameter of the circle. In the case where the circumference is given, the radius becomes C ÷ 2π. Here, “C” is the circumference, and π is the constant value represented as 3.14.
Area of a circle
The amount of square units within a circle is known as its area. Note that to calculate a circle’s area, you could count the number of squares in a circle if each square to the left has an area of 1 cm^2.
The formula for finding the area of a circle is πr². π here is equal to 22/7 or 3.14, and r is the radius of the circle.
Diameter of the circle
The line that runs through the centre, meeting two edges, is what we refer to as the diameter of a circle. The diameter shows us how large a circle is a rim to rim. Another name for the diameter of a circle is “chord”.
The formula for calculating the diameter is as follows:
When given the radius, D = 2r
If we have the circumference, D = C ÷ π
Where the area is given, D = √4A ÷ π
Sphere surface area of a circle
The sphere surface area of a circle is simply the area of a circle multiplied by 4. The formula for the sphere Surface area of a circle is represented as 4πr².
Circumference calculator conclusion
The circumference calculator is a simple and easy-to-use tool that aids in getting the circumference of a circle. It also helps to find the diameter, area, radius, the volume of a sphere and the sphere of a circle.
This calculator is so easy that it gives you the answer instantly. Not only does the circle circumference calculator accurately calculate a circumference, but it also does the same for the other parameters above.
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Result
Circumference Calculator
Using a circumference calculator is important as it helps identify and solve mathematical problems. It verifies your work and makes calculations faster.
The circumference calculator is a free mathematical tool used to determine a circle’s circumference, area, diameter, sphere volume, radius, and sphere surface area. Asides from the fact that it is free, it also offers the exact answers to your calculations.
There are multiple online calculators to help you compute the circumference of a circle. While it might seem easy to just punch in the numbers and get a result, understanding how they work can help you validate the answers produced.
To help you with the right information you need, we’ve come up with this article, and we hope it will be a great guide for you.
What is a circumference calculator?
A circumference calculator is a simple and easy-to-use online tool that helps to determine the circumference and radius. It also finds the diameter, area etc. When you need to solve any geometry-related problem, the circumference calculator is your go-to tool.
When calculating the circumference using the circumference calculator, the value of the radius or diameter is usually given.
What is a circumference?
When we say circumference, we simply mean the distance surrounding the outer part of a circle. In other words, we could say a circumference is the perimeter of a circle. While the circumference is used for circles, the perimeter is used for polygons.
Asides from the circumference, there are two other distances on a circle – the diameter and radius. The distance from one part of the circle to the other is known as the diameter, and the radius is half the diameter distance.
Formula for circumference
To get the formula for calculating circumference, simply multiply 2,π, and the radius. Therefore circumference of a circle equals 2πr which could otherwise be written as C = 2πr
Breaking it down into its simple form:
- C signifies the circumference of the circle
- π is a constant, with “3.14” as its decimal representation.
- r signifies the radius of the circle
With the above, all you have to do is input the values into the circumference formula calculator, and you get your answer instantly.
How to use the circumference calculator
As we mentioned earlier, the circumference calculator is a simple and easy-to-use tool. It calculates your work very fast, plus it gives you quick answers. To use this tool, all you need do is follow these simple steps below:
- Put in the radius where necessary.
- Press the solve button.
- You’ll get the result showing you the circumference.
How to calculate the circumference of a circle
From the previous subheadings, we’ve learnt what the circumference of a circle is and the formula to calculate it. Let’s now find the circumference of a circle using the example below.
Example:
Given the diameter of a circle to be 14cm, find its circumference.
To solve this, we’ll use the circumference formula, which is 2πr and simply insert the values.
Here, π =3.14, r = 14÷2 = 7
Therefore, 2 × 3.14 × 7 = 43.9 inches
It is worth noting that circumference is measured in inches.
Calculating circumference to diameter
Here, the circumference will be given, and from it, we calculate the diameter. To do this, input the values into the circumference calculator. Both diameter and circumference have a close relationship with π, which means with π, we can get our diameter from the circumference. Since C = πd
Then C÷π = d
This means to get the diameter, all we need to do is use π to divide the circumference.
Example:
A circle with a circumference of 18 feet, find its diameter.
Solution:
With the above formula where D = c÷π
Inserting the values into the formula becomes: D = 18 feet ÷ 3.14
D = 5.732 feet.
Calculating diameter to circumference
In most situations, when calculating the circumference, it’s usually the radius we’re given. However, there is a way we can directly calculate the circumference using the diameter with the formula C = πd.
Firstly, know your diameter; it should be a positive value else you can’t go forward with the calculation. Then, multiply the diameter with π to get the circumference.
Other parameters calculated by the circumference calculator
The circumference of a circle is not the only thing you can calculate with the circumference Calculator. There are other parameters this great tool helps in calculating; they are:
What is a radius of a circle
The line that runs from the centre to the circumference of a circle is what is known as the radius. Usually, when the line is two, we refer to them as radii; these lines are usually of the same length.
The formula for finding radius varies: When given the diameter, radius = d÷2; here, the “d” is the diameter of the circle. In the case where the circumference is given, the radius becomes C ÷ 2π. Here, “C” is the circumference, and π is the constant value represented as 3.14.
Area of a circle
The amount of square units within a circle is known as its area. Note that to calculate a circle’s area, you could count the number of squares in a circle if each square to the left has an area of 1 cm^2.
The formula for finding the area of a circle is πr². π here is equal to 22/7 or 3.14, and r is the radius of the circle.
Diameter of the circle
The line that runs through the centre, meeting two edges, is what we refer to as the diameter of a circle. The diameter shows us how large a circle is a rim to rim. Another name for the diameter of a circle is “chord”.
The formula for calculating the diameter is as follows:
When given the radius, D = 2r
If we have the circumference, D = C ÷ π
Where the area is given, D = √4A ÷ π
Sphere surface area of a circle
The sphere surface area of a circle is simply the area of a circle multiplied by 4. The formula for the sphere Surface area of a circle is represented as 4πr².
Circumference calculator conclusion
The circumference calculator is a simple and easy-to-use tool that aids in getting the circumference of a circle. It also helps to find the diameter, area, radius, the volume of a sphere and the sphere of a circle.
This calculator is so easy that it gives you the answer instantly. Not only does the circle circumference calculator accurately calculate a circumference, but it also does the same for the other parameters above.
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