During the study of mathematics, there are many terms which are confusing. It is very noteworthy to clear these confusions for better perceptions and grip on concepts. Most of the times students get confused in geometry and algebra.

Circle and circumference are one of the confusing geometrical terms. Most of us relate circle or many terms of a circle with the circumference.

In this article, we will try to subdue this perplexing term so read the complete article.

Circle

The Circle

As we have described earlier the definition of a circle as

A circle is a shape or plan region whose boundary is a bunch of straight lines equal in distance to each other at 360 degrees from a common point usually called as the center.

Circumference

The circumference is the length or distance around a closed shape or the object shaped as a circle.

Circumference

In this figure, the pink colored space occupied is a circle and the green colored line is the circumference.

If you are asked to measure the circumference say you have a cup, you can do it easily with the help of a thread. Put the thread around the cup and cut it when it completes the round. Determine its length with the help of measuring tape. The result will give you the value of circumference.

Circumference and Diameter of circle

Some people consider the diameter of circle same as circumference. The line passing through the center and dividing the circle into two segments is known to be the diameter. Circumference is the space around the circle.

circumference and diameter

As we can see from the fig. that circumference and diameter are different things and possess different formula for calculation. For example, we have a circle with the radius of 2 cm.

C = 2 x pi x r

C = 2 x 3.14 x 2

C = 12.57 cm

and

D = 2 x r

D = 2 x 2

D = 4 cm

The result is equivalent to the circumference of 12.57 cm and diameter of 4 cm.

Circumference and Area of Circle

Sometimes we also relate circumference with the area. An area is the space occupied inside the circle while circumference is the calculation of border of a circle.

circumference and area

As from figure Circumference and Area have different formulas. For example, we have a radius of 4 cm

C = 2 x pi x r

C = 2 x 3.14 x 4

C = 25.13 cm

and

A = pi x r x r

A = 3.14 x 4 x 4

A = 50.27 cm

As a result circumference is equal to 25.13 cm and area is equal to 50.27 cm.

I hope you liked my post about “What is the difference between circle and circumference” and if you have any query you can write it down in the comments section.