Length of a Chord in a Circle

A circle has a radius of 10 cm. A chord of the circle is drawn such that it is 12 cm away from the center of the circle. What is the length of the chord?

To solve this problem, you can use the relationship between the radius, the distance from the center to the chord, and half the length of the chord.

Recall that if $r$ is the radius, $d$ is the distance from the center to the chord, and $x$ is half the length of the chord, then the relationship can be expressed as:

$$r^2 = d^2 + x^2$$