Chord of a Circle

Intersecting Chords, Their Arc and Angles

A Chord is a line segment that joins ANY two points on a circle

In other words, a chord is basically any line segment starting one one side of a circle, like point A in the picture on the left, and ending on another side of the circle, like point B. Points A and B are the endpoints of chord AB.

Chord AB divides the circle into two distinct arcs from A directly to B and then the longer part: from A through C and to B.
Can you categorize these two arcs as the minor and major arc?

Theorems involving the chord of a circle

Practice Problems

Problem 1

In the diagram on the left, identify: the chord, minor arc, the major arc, the chord's arc.

Problem 2

In the diagram on the left, identify: the chord, minor arc, the major arc, the chord's arc.

Problem 3

In the diagram on the left, identify: the chord, minor arc, the major arc, the chord's arc.

Problem 4

What is the relationship between the lengths of chord YZ and AB?

The two chords are congruent!