The circle has area [math]\pi[/math][br][br]The slider n changes the number of sides of the polygons.[br][br]One polygon fits inside the circle (underestimates the area)[br][br]One polygon fits outside the circle (overestimates the area)[br][br]SLIDE THE SLIDER TO SEE HOW THE AREAS OF THE POLYGONS CHANGE.[br][br]You can start or pause animation by clicking the play or pause button in the bottom left corner.
When n is 10 (i.e. using a decagon inside and outside) what bounds can you put on the value of pi?
2.94<[math]\pi[/math]<3.25
When n is 40 what bounds can you put on the value of pi?
3.13<[math]\pi[/math]<3.15
What is the maximum percentage error in the estimate of [math]\pi[/math] when n=10?[br](Assume [math]\pi[/math] = 3.14159 for the purposes of this question)