# Chord of a Circle

How to solve the chord of a circle problems: definition, property, example, and its solution.

## Definition

A chord is a line segment

whose endpoints are on the circle.

## Property

If a line segment starts from the radius

(or passes the radius)

and is perpendicular to the chord,

then the line segment bisects the chord.

## Example

*OA* is the radius.

So *OA* = 5.

See △*APO*:

The hypotenuse is 5 and the leg is 3.

So it's a (3, 4, 5) right triangle.

So *AP* = 4.*OP* ⊥ *AB* (⊥: is perpendicular to)

So *OP* bisects *AB*.

So *AP* = *PB* = 4.

So *AB* = 4 + 4 = 8.