# How to calculate the circumference of a circle

Although the circumference of a circle is proportional to the length of its boundary, it cannot be calculated using a ruler (scale) like other polygons. This is attributable to the fact that a circle is a curvy figure. As a result, we utilize a formula that uses the radius or diameter of the circle and the value of Pi () to calculate the circumference of a circle.

The below equation explain the relationship between the circumference and the radius of a circle

c=2πr

Where is a constant and has a fixed value which is equal to 3.14159265..... The exact figure is impossible to calculate. We generally use approximations like3.14 or 22/7 because it’s an irrational number.

Method to calculate the circumference of a circle

Method 1: Using diameter to calculate the circumference of a circle:

Use the formula

C=π×d

If we know the diameter we can determine the circumference. In this relation, "C" symbolizes the circumference of a circle, and "d" symbolizes its diameter. That is to say, we can find the circumference of a circle just by multiplying the pi by diameter. Substituting the value the numerical value is 3.14 or 22/7.plug the given value of the diameter into the circumference formula and solve. For further practice examples problem below:

Example: A circular bike wheel with a diameter of 10 feet. Calculate the circumference of a circular bike wheel.

To calculate the circumference of the circular bike wheel. The diameter of thecircular bike wheel is 10 feet. Now substituting the values in the formula

C=π d

C=π×10

C=31.42feet

Method 2: Using radius to calculate the circumference of a circle:

Use the formula

C=2πr

This relation represents the radius of the circle.

A radius is the length of the line segment from the center of the circle to its other endpoint on the boundary of the circle.

This formula is similar to C=π d. That's because the radius is half of its diameter, so the diameter can be written as d=2r.

Substitute the given radius value into the above relation and solve it. For further practice examples problem below:

Problem: You are cutting out the ribbon to wrap around the edge of the bangle. The radius of the bangle is 2 inches.

Solution: To calculate the circumference that you need just, putting the values of radius in a given equation

C=2πr

C=2 π 2

C=12.57inches

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