Radius of Inscribed Circle in a Regular Hexagon

A circle is inscribed in a regular hexagon. Each side of the hexagon measures 8 units. Determine the radius of the inscribed circle.

Recall that in a regular hexagon, the radius of the inscribed circle (also known as the apothem) can be calculated using the formula:

$$r = \f\frac{s \sqrt{3}}{2}$$

where $r$ is the radius of the inscribed circle and $s$ is the length of a side of the hexagon.