The Greek mathematician Archimedes approximated pi by inscribing and
circumscribing polygons about a circle and calculating their perimeters.
Similarly, the value of pi can be approximated by calculating the areas
of inscribed and circumscribed polygons. This activity allows for the
investigation and comparison of both methods.
Change the value of n to increase or decrease the number of sides in
the polygons, and notice how the calculations of the areas and perimeters begin
to approximate pi.
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?
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olenim dignit irit luptatum zzriliquamet la commodigna facilit prat.