A circle is a two-dimensional geometric shape that is perfectly round and consists of all points in a plane that are equidistant from a fixed center point. It is defined by its radius, which is the distance from the center to any point on the circle. The circumference of a circle is the distance around its outer edge, and the diameter 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 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 are commonly found in nature and are used in various mathematical and scientific applications.