## Introduction to Circumference Calculator

The circumference is the distance around the outside of the circle denoted by (C). It is also called the perimeter of the circle. Circumference calculator allows you to calculate diameter, area & circumference online.

This portal provides you math tools like volume of cylinders calculator and how you can find cone volume without doing manual calculations.

If you know the value of (r), circumfrence formula to calculate circumference will be

$$C\;=\;2r$$

As we know the value of pi is fixed for all circles.

If you know the value of (d), the formula for circumference will be

$$C\;=\;d$$

## Formula used by Circumference Calculator

The distance around a circle is known as the circumference. The circumference of a circle calculator uses this circumference formula

$$C\;=\;2πr$$

Concept of circumference is different from area of a sector. On this portal you can learn about calculating the area of a sector and find pythagorean theorem calculator for claculating square root.

## What is Radius?

The radius is half the distance of a diameter denoted by (r).

$$r\;=\;\frac{d}{2}$$

Circumference and rotations calculator also computes the area of a circumference. It uses the same formula for finding those results.

$$r\;=\;\frac{C}{(*2)}$$

Suppose the circumference of a circle is 20cm, you want to find the radius. Put the value into the equation.

$$r\;=\;\frac{C}{(*2)}$$ $$r=\frac{20}{(3.14*2)}=3.18cm$$

By following this way a circumference formula calculator works to find out the radius of a circle.

Radius also deals with arc length and permutation. Find arc length solver and permutation calculator and calculate their queries by making few clicks.

## What is Diameter?

The diameter is the distance across the center of a circle denoted by (d). If you know the radius of a circle, you can calculate the diameter by multiplying the radius by 2. Circumference of a circle calculator allows you to calculate diameter digitally without any problem.

$$d = 2 * r$$

If you don't know the radius, you can calculate diameter by dividing the circumference by pi.

$$d\;=\;\frac{c}{π}$$

If you don’t know circumference or radius of a circle, you can find the diameter by dividing the area by pi and after that find the square root of that number to get the radius.

Circumference of a circle calculator works according to the above-given formula. It is also used to calculate rectangle area. You can find the circumference calculator useful to solve circumference online. Also try our cubic meter calculator to calculate triangles, cubic feet from length and width.

## What is Pi?

Pi is the ratio of circumference to its diameter of a circle. The value of this ratio is 3.14156. This value is true for all circles.

$$π=\frac{C}{d}$$

## How to calculate Circumference of a Circle?

You can use circumference formula calculator to solve circumference online. For manual calculations, let's assume we draw a circle of radius 3.5 centimeters. It will look something like this. As we know this blue boundary of the circle will be its perimeter. The perimeter of the circle is also called circumference.

But how can we measure the circumference of the circle? The circumference is round and the scale is used to measure any straight length. It is very simple. Have a look at given below method. Find the circumference of the above-given circle, the radius is 3.5 cm.

Integration and differentiation are 2 of the most important topics of math. Find derivative using limit definition calculator & solve integral online with us.

## How to calculate Circumference with Circumference formula?

To avoid manual calculations one can use circumference formula calculator to get equation for circumference solved quickly, For manual calculations, process is below mentioned.

Circumference of circle = 2πr

While π = 3.14

By putting values C = 2 * 3.14 * 3.5

$$C\;=\;22cm$$

So, in this case, when we are given the radius, we can calculate circumference by above-given circumference formula. But if there is given diameter, the circumference formula will be:

$$Circumference\;=\;πd\;\;$$ $$d\;=\;diameter$$

By putting value C = 3.14 * 7

$$C\;=\;22cm$$

As we can find circumference from diameter, likewise, we can find diameter if we are known circumference.

### Example

Circumference problem

The diameter of a wheel is 40 cm. How many complete rotations will denote the distance of 1km?

As

$$C\;=\;d$$

While

$$π\;=\;3.14$$

By putting the values into formula

$$C\;=\;3.14 * 40$$ $$C\;=\;126 cm$$

While 1km = 100,000

Number of complete rotation = 100,000 / 126

$$=\;794km$$

Find expected value calculator to calculate random variables and probability formula calculator for calculating probability distribution.

## Circumference to Diameter Calculator

As you might have noticed that the diameter is 2 times longer than the radius, and the circumference and diameter is dependent on each other in a circle. So,

$$C/D=2πr/2r=π$$

$$\frac{C}{D}\;=\;\frac{2πr}{2r}\;=\;π$$

This equation of diameter to circumference is also a definition of the constant. It is also used in finding cone volume.

You can learn about the calculations of logarithm from here. Find our logarithm calculator to calculate logarithmetic expressions and natural log inverse calculator for calculating inverse of a log.

## How to use Circumference Calculator?

Circumference formula calculator is simple and very easy to use. To calculate the circumference of a circle, just provide radius to our circumference calculator and get your answer. Our circumference to diameter calculator will show you diameter, circumference & area as the results.

We hope you liked our circumference calculator and its theory. You can also find other useful calculators on our portal like sigma notation calculator or percent error calculator. Please provide us your feedback. Cheers!