# What is the segment connecting the two points of the circle?

Ildar Yunusov

July 25, 2014

The question of the name of the segment connecting the two points of a circle is considered in the school course of geometry.

The segment connecting two arbitrary points of the circle is called a chord. A special case of the chord is the diameter. The diameter is a segment that connects two points of a circle, passing through its center. The diameter is the longest chord of a circle and consists of two radii of this circle.

Chord properties:

- two equidistant from the center of the chord are equal in length;
- the radius perpendicular to the chord divides it in half;
- arcs between equal chords are also equal;
- at the intersection of two chords, segments are obtained whose product of the lengths of one chord is equal to the corresponding product of the other.