A circle is a closed curve in which all points are equidistant from the center. The distance from the center to any point on the circle is called the radius. The longest distance across a circle, passing through the center, is called the diameter. 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 = πr2, where A is the area and r is the radius.