Question: (a) Let An be the area of a polygon with equal sides inscribed in a circle with radius r. By dividing the polygon into n

(a) Let An be the area of a polygon with equal sides inscribed in a circle with radius r. By dividing the polygon into n congruent triangles with central angle 2π/n, show that An = ½nr2 sin (2π/n).
(b) Show that lim n →∞ An = πr2.

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