Angle Relationships and Chords in Circles

It is a set of all points with the same distance from a fixed point called the center. The center is used to name it.

• circle

• radius

• diameter

• chord

It is a segment whose endpoints are the center and a point on the circle. It is the distance from the center to any point on the circle.

• radius

• diameter

• chord

• tangent

It is a line segment that has its endpoints on the circle.

• radius

• diameter

• chord

• secant

It is a chord that passes through the center of the circle. It is the longest chord of a circle and its length is twice as long as its radius.

• radius

• diameter

• chord

• tangent

It is a line, a segment, or a ray that intersects a circle at exactly two points.

• chord

• diameter

• tangent

• secant

It is a line, a segment, or a ray that intersects a circle at exactly one point, and the point of intersection is called the point of tangency.

• tangent

• secant

• radius

• diameter

It is a part of a circle between any two points. It is measured in terms of degrees.

• line

• arc

• point of tangency

• secant

It is an arc which is 𝑜𝑛𝑒-ℎ𝑎𝑙𝑓 of a circle.

• major arc

• minor arc

• semi- circle

• circle

It is an angle formed by two radii and its vertex is the center of the circle.

• inscribed angle

• intercepted arc

• central angle

• sector of a circle

It is an angle whose vertex lies on the circle and the sides contain chords of the circle.

• central angle

• vertex angle

• inscribed angle

• intercepted angle