Circumference calculator

A circumference calculator is used to evaluate the circumference and the area of a circle with steps in a couple of a second. This calculator only takes the radius and will calculate the circumference and circle area according to their formulas.

What is the circumference of the circle?

In geometry, the circumference is the linear distance of the paths that make circles. It is generally the perimeter of an ellipse or circle. The term perimeter is frequently used in polygons to calculate the results.

Formulas of circumference and circle area

• For circumference

The formula of the circumference is:

Circumference = 2πr

• For the area of a circle

The formula for the area of a circle is:

Area = πr²

How to calculate the circumference of a circle?

To solve the circumference of a circle, use the above circumference calculator. Here is an example of calculating the circumference of a circle manually.

Example

Calculate the circumference and area of a circle if the radius of a circle is 12cm

Solution

Step 1: Take the formula of circumference and substitute the given values for it.

Circumference = 2πr

Radius = r = 12cm

Pi = π = 3.14

Circumference = 2(3.14) (12)

Circumference = 75.36 cm

Step 2: Take the formula of the area of a circle and substitute the given values for it.

Area = πr²

Radius = r = 12cm

Pi = π = 3.14

Area = (3.14) (12)²

Area = (3.14) (144)

Area = 452.16 cm²

Hence,

The area of the circle is 452.16 cm² and the circumference of the circle is 75.36 cm.

References

• Wikimedia Foundation. (2022, October 5). What is the Circumference? Wikipedia. 
• How to calculate circumference? StudySmarter US. (n.d.).