Geometry Essentials: Circles And Their Properties

Circle

A set of all points in a plane that are given distance from a point, the center

A circle is a two-dimensional shape that consists of all points that are equidistant from a central point. The distance from the center of the circle to any point on the circle’s perimeter is called the radius. The diameter of a circle is the distance across the circle, passing through the center.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Circles have many interesting properties and are used widely in various applications. For example, they are used to represent planets in our solar system, to describe the motion of objects in circular paths, and to design circular objects such as wheels and gears. Therefore, circles are an essential topic in geometry and mathematics.

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