# Circumference to Diameter Calculator

Circumference to diameter calculator helps you convert or calculate a circle's diameter when the circumference is known, and vice versa. It simplifies the conversion process which provides users with quick and accurate results without the need for manual calculations.

## Parts of a circle:

A circle consists of three main parts, which includes:

### Circumference:

The circumference of a circle is the total curved distance around its outer boundary.

### Diameter:

A diameter is the longest straight line segment that passes through the center of a circle and intersects both its opposite ends. It is equal to twice the radius.

The radius of a circle is the straight line from its center to any point on the circumference. it is half of the diameter.

## Circumference to diameter formula:

$$d = \frac{C}{\pi}$$

Where,

• d – diameter of the circle.
• C – Circumference of the circle.
• π – Pi (approximately 3.14159)

Finding the distance around a circle seems complex, but it's not. We have included a helpful example below to illustrate how to find the diameter from the circumference of a circle, such as:

### Example:

Suppose you have a circle with a circumference (C) of 30 centimeters. Now, you want to find the diameter (d) of that circle.

Using the formula:

$$d = \frac{C}{\pi}$$

$$d = \frac{30}{\pi}$$

Now, calculate:

$$d \approx \frac{30}{3.14159} \approx 9.55$$

## How to find the circumference when diameter is known?

To find the circumference from the diameter of a circle is pretty simple with the help of the following formula:

• (C = π d) or (C = 2 π r)

### Example:

Let's say the diameter of a circle is 10 cm. To find the circumference (C), you can use the formula that we discussed above:

C = π d

Add the values into the formula:

C= 3.142 × 10cm

Now, calculate the circumference:

C ≈ 31.42cm