## Circumference Calculator Of Circle

Enter the radius of the circle:

A circle is a geometric shape consisting of all the points that are equidistant from a central point. The distance around the circle is called the circumference. The circumference of a circle is an important concept in mathematics and is used in many real-life situations.

**Formula for Circumference**

The formula for the circumference of a circle is:

C = 2πr

Where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

Explanation of Formula

The circumference of a circle is the distance around the circle. If we cut a circle at any point and flatten it out, we get a line segment that is equal to the circumference of the circle. The radius of a circle is the distance from the center of the circle to any point on the circle. To find the circumference of a circle, we need to multiply the radius by 2π, where π is the ratio of the circumference of any circle to its diameter.

Examples

Let’s look at some examples to understand how to use the formula for the circumference of a circle.

Example 1: Find the circumference of a circle with a radius of 5 cm.

C = 2πr C = 2π(5) C = 10π

The circumference of the circle is 10π cm or approximately 31.42 cm.

Example 2: Find the circumference of a circle with a diameter of 8 meters.

C = πd C = π(8) C = 8π

The circumference of the circle is 8π meters or approximately 25.13 meters.

Example 3: Find the radius of a circle with a circumference of 12π cm.

C = 2πr 12π = 2πr r = 6 cm

The radius of the circle is 6 cm.

The circumference of a circle is the distance around the circle. It is calculated using the formula C = 2πr, where C is the circumference, π is the mathematical constant approximately equal to 3.14159, and r is the radius of the circle. The circumference of a circle is an important concept in mathematics and is used in many real-life situations, such as calculating the distance around a circular track or the length of a rope needed to go around a circular object.

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