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.
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.