A cylindrical piece of wood has a height of 12 inches and a base radius of 4 inches. A woodworker cuts the piece in half vertically through the center of its bases, as shown. Describe the shape of the cross section, and find its area. Justify your reasoning.
![A cylindrical piece of wood has a height of 12 inches and a base radius of 4 inches A woodworker cuts the piece in half vertically through the center of its bas class=](https://us-static.z-dn.net/files/dee/133eac8cf8baeefa4ee96e13647af20a.jpg)