Circle

A circle is a perfectly round shape defined as the set of all points in a plane that are the same distance from a central point, called the center. This distance is known as the radius. A circle has various important properties, such as its circumference (the distance around it) and its area (the space inside). The formula for the circumference is \(C = 2\pi r\) and for the area, it’s \(A = \pi r^2\), where \(r\) is the radius. Circles are fundamental in mathematics and appear in numerous contexts, from architecture to nature.