Geometry of Circles

The geometry of circles involves studying properties related to circles—curves where all points are equidistant from a fixed center. Key elements include the radius (distance from center to edge), diameter (longest distance across the circle passing through the center), and circumference (the circle's perimeter). The relationship between radius and diameter is simple: the diameter is twice the radius. Circles also feature angles and sectors, like slices of a pie. Understanding how lengths and angles relate within circles—such as the constant angle at the center subtending an arc—is foundational in geometry and helps in various practical applications.