Solved: (a) Let An be the area of a polygon with n equal sides inscribed in a circle

Chapter 5, Problem 32

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(a) Let An be the area of a polygon with n equal sides inscribed in a circle with radius r. By dividing the polygon into n congruent triangles with central angle 2yn, show that An 1 2 nr 2 sinS 2 n D (b) Show that limnl` An r 2 . [Hint: Use Equation 3.3.2 on page 191.]

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