Examples of Estimations(Continuation of Exercise 21. )a.

Chapter 5, Problem 22E

(choose chapter or problem)

Problem 22E

Examples of Estimations

(Continuation of Exercise 21. )

a. Inscribe a regular n-sided polygon inside a circle of radius 1 and compute the area of one of the n congruent triangles formed by drawing radii to the vertices of the polygon.

b. Compute the limit of the area of the inscribed polygon as

c. Repeat the computations in parts (a) and (b) for a circle of radius r

Reference: Exercise 21.

Inscribe a regular n-sided polygon inside a circle of radius 1 and compute the area of the polygon for the following values of n:

a. 4 (square)

b. 8 (octagon)

c. 16

d. Compare the areas in parts (a), (b), and (c) with the area of the circle.