A circle is defined as the set of all points in a plane that are equidistant from a center point. The radius is the distance from the center to any point on the edge, while the diameter connects two points on the edge through the center and is twice as long as the radius. The circumference is the distance around the edge of the circle. Other terms include chord (a line connecting two edge points not through the center), arc (a curved section of the edge), segment (region between a chord and arc), sector (wedge-shaped area between radii and an arc). The area of a circle is calculated as π times the radius squared.