Distance from Center to Chord in a Circle

A circle has a radius of 7 cm. A chord of this circle is 6 cm long.

What is the distance from the center of the circle to the chord?

Use the formula for the perpendicular distance from the center of a circle to a chord, which can be derived from the right triangle formed by the radius, half the length of the chord, and the distance from the center to the chord. If $r$ is the radius and $d$ is the distance from the center to the chord, the relationship is given by:

$$ d = ext{sqrt}(r^2 - igg(\frac{c}{2}igg)^2) $$

where $c$ is the length of the chord.