Subject: Geometry

# Chords And Arcs

### Chord

A chord is a line that joins any two points in the circle. A chord that passes in the center of the circle is the diameter of a circle.

\bar{AB} , \bar{CD} , and \bar{EF} are the Chords in the cirlce; \bar{CD} is the diameter.

### Arc

An arc, on the other hand is a connected part or section of the circumference of a circle.

The black portion of the circumference of the circle in the figure above is called an arc.

## Measuring Chords and Arcs

In measuring chords and arcs in circles, we need to follow certain rules and guidelines so that our measurement would be as accurate as possible.

### Guidelines in measuring chords and arcs

In measuring chords, there are at least four important guidelines to remember. These are the following:

• The measure of the intercepted arc is equal to the measure of the central angle.
• Half the measure of the intercepted arc is the same as the measure of the inscribed angle.
• A line or a line segment that connects two points on a circle is called a chord.
• A line passing through two points on a circle is called a secant.