The inscribed polygon is blue, and the
circumscribed polygon is red. Not surprisingly, the blue polygon gives an
underestimate, and the red polygon gives an overestimate. But by how much?

- Choose an arbitrary value of
*n*. For the area model, which is closer
to the actual value of π, the estimate given by the blue or red polygon? At what
point between the blue and red estimates does the actual value of π occur?
- For the perimeter model, which is closer to the actual value of π? At what
point between the blue and red estimates does the actual value of π occur?