In geometry, a circle **is the area or surface contained within a circumference**. The word comes from the Latin *circŭlus*diminutive of the Latin word *circus*which means ‘fence’.

In a generic way, the word circle is also often used when several elements are placed forming a circular space, such as a circle. For example: “The players made a circle to talk.”

At the social level, it is also identified as** a club, casino or society that meets for various purposes which may be recreational or artistic**. For example: a circle of readers, the Vienna Circle. It is also called the place where its members meet.

In this sense, the words athenaeum and center can sometimes be used as synonyms. For example: the Circle of Fine Arts.

Usually used in the plural, circles too **refers to a group of people who belong to a certain environment or sector of society**. For example: “The aristocratic circles”.

## circle area

The area of a circle is the surface it occupies. To find it, it is common to use the following formula: A=π•r², where π is the number pi, used in many cases as 3.1416 and *r* the radius of the circumference.

See also Radio.

## circle perimeter

The perimeter of a circle corresponds to the circumference. To calculate the perimeter you can use this formula P=d•π, corresponding *d* to the value of the diameter of the circumference.

## Difference Between Circle and Circumference

In geometry, a distinction is made between a circle and a circumference, the circle being the surface and the circumference the curved line that delimits it.

However, on many occasions the word circle is used interchangeably. For example, it is often said that a group of people located at the same distance surrounding an object located in the center are “in a circle” and not “in a circumference”.