SOLVED:Use a calculator (or program a computer) to calculate πby iterating the algorithm of Archimedes given by Lemma 1 . How many iterations are necessary to get five-decimalplace accuracy?
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SOLVED:To compute the number π, Archimedes used a sequence of increasing lower bounds, derived from the perimeters of inscribed polygons in a circle with unit diameter, and a sequence of decreasing upper bounds, based on circumscribing polygons. a. Use the method of Archimedes, with a pair of hexagons and exact calculations, to derive an interval that is guaranteed to contain π. b. Repeat part a, this time performing the arithmetic with four fractional decimal digits and proper rounding. c. Repe
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