boundaries & enclosures

A GREEN polygonal region has a BLUE polygonal boundary.[br][br]Purple dots control sizes and orientation of the polygons. Purple slider in right hand panel controls the number of sides.[br][br]Drag the yellow dot along the dotted line to vary the relative sizes of the GREEN and BLUE regions.[br][br]How do the graphs in the right hand panel as you vary the -[br][br]- number of sides?[br][br]- the relative sizes of the green and blue regions?[br][br]Write expressions for these two functions.[br][br][color=#ff0000][i][b]What questions could / would you put to your students based on this applet?[/b][/i][/color]

Information: boundaries & enclosures