Length of a Chord in a Circle

In a circle, the diameter measures 16 cm. A chord in this circle is drawn such that it is 12 cm away from the center of the circle. What is the length of the chord?

Use the formula for the distance from the center of the circle to the chord:

$$d^2 + r^2 =\frac{c^2}{4}$$

where:

• $d$ is the distance from the center to the chord (12 cm),
• $r$ is the radius of the circle,
• $c$ is the length of the chord.