Inscribe and circumscribe regular polygon

First of all, yo have to represent a circumference. To do that, introduce a value for the radius in the entry box and you will se the cimcumference represeted on the screen (choose the value 3 or a bigger one for the radius in order to represent a big circumference that can be seen perfectly on the screen).[br][br]Then, move the slider and see the polygons that appear on the screen and answer the questions:[br][br] - What appends while the number of sides of the polygon grows? [br][br] - When are inscribe regular polygon (which is inside the circumference) and circumscribe regular polygon (which is outside the circumference) most similar to each other?  [br][br] - Which polygons have an approximated representation from the circumference?  And which are more different of the circumference?  

Information: Inscribe and circumscribe regular polygon