Optimization: Sprinkler Problem

A farmer needs to enclose a field within the area of a sprinkler. The radius of the sprinkler is 4 meters. Determine the dimensions of the field that will enclose the largest and smallest areas.

Instructions: [list] [*]Drag the slider to or use the 'Show Animation' and 'Stop Animation' Buttons to change the dimensions of the field. [*]Click the check box 'Show Area' to show or hide the calculated area. [/list]