A circle has a radius of 7 cm. A chord in the circle is 8 cm long. Calculate the distance from the center of the circle to the chord.
Use the following relation: If a chord of a circle is of length $c$, and the radius of the circle is $r$, the distance $d$ from the center of the circle to the chord can be calculated using the formula:
$$ d = ext{sqrt}(r^2 -\frac{c^2}{4}) $$