Length of a Chord in a Circle

Consider a circle with a radius of 10 cm. A line segment is drawn from the center of the circle to a point on the circumference, creating a radius. If another line segment is drawn parallel to this radius that intersects the circle at points $P$ and $Q$, what is the length of the chord $PQ$ that the line segment creates?

To solve this, use the relationship between the radius, the distance from the center to the chord, and the length of the chord in a circle:

$$L = 2 m{sqrt}(r^2 - d^2)$$

where $L$ is the length of the chord, $r$ is the radius of the circle, and $d$ is the distance from the center to the chord.