About Circle Circumference Calculation

What is the Circumference of a Circle?

The circumference of a circle is the distance around the circle. It is equivalent to the perimeter of other shapes and represents the length of the circular boundary.

Formula for Circle Circumference

The formula to calculate the circumference of a circle is:

\[C = 2\pi r\]

Where:

• \(C\) is the circumference of the circle
• \(\pi\) (pi) is approximately 3.14159
• \(r\) is the radius of the circle

Alternatively, if the diameter is known, we can use:

\[C = \pi d\]

Where \(d\) is the diameter of the circle.

Calculation Steps

1. Identify whether you have the radius or diameter of the circle.
2. If you have the diameter, divide it by 2 to get the radius.
3. Multiply the radius by 2π (or multiply the diameter by π).
4. The result is the circumference of the circle.

Example

Let's calculate the circumference of a circle with a radius of 5 units:

1. Given: Radius (\(r\)) = 5 units
2. Apply the formula: \(C = 2\pi r\)
3. Substitute the value: \(C = 2\pi \times 5\)
4. Calculate: \(C = 10\pi \approx 31.42\) units

Visual representation:

Therefore, the circumference of the circle is approximately 31.42 units.