The document defines key terms related to circles such as radius, diameter, chord, arc, segment, and sector. It explains that a circle is the set of all points equidistant from a fixed center point, and the distance from the center to any point on the circle is the radius. The diameter is the longest chord that passes through the center, and is equal to twice the radius. An arc is a piece of the circle between two points, while a segment is the region between a chord and an arc. A sector is the region between an arc and the two radii connecting the arc endpoints to the center.