a circle is a shape consisting of all points on a plane that are at a given distance from a given point
the given distance the radius and the given point is the center

terminology

annulus

a ring shaped object, the region bounded by two concentric circles

arc

any connected part of a circle. specifying two points

center

the point equidistant from all points on the circle. also called the origin of the circle

chord

a line segment whose endpoints lie on the circle

circumference

the length of one circuit along the circle

diameter

a line segment whose endpoints lie on the circle and passes through the center
the length of this line segment is also called the diameter

radius

a line segment joining the center with any point on the circle
the length of this line segment is also called the radius

sector

a region bounded by two radii with a common center and one of the two possible arcs

segment

a region bounded by a chord and one of the two possible arcs connecting the chord’s endpoints

secant

a chord but is a line instead of a line segment

tangent

a line that only has one point in common with the circle

figure: diagram of a circle, showing radius (R), diameter (D), origin (O) and circumference (C)

figure: diagram of a circle showing chord, segment, radius, diameter and tangent