Calculating pi by Exhaustion

This is an attempt to calculate pi by exhaustion. This method leverages a polygon with n = x sides, inscribed within a unit circle. Archimedes did this to estimate his lower bound of pi, however, he also conscribed a polygon to provide an upper limit as well. Thus, when doing this with Calculus students, teachers should consider doing this activity (exhaustion by inscription) together, and then offering students interested in a challenge, the chance to adjust the formula for conscription instead.

jonathan Written by:

Santa Fe area Math and CS teacher; class archives, instructional techniques, and musings on educational leadership.

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