Examples of EstimationsInscribe a regular n-sided polygon

Chapter 5, Problem 21E

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QUESTION:

Problem 21E

Examples of Estimations

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.

Questions & Answers

QUESTION:

Problem 21E

Examples of Estimations

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.

ANSWER:

SOLUTION

Step 1 of 5

We have to compute the area of the polygon.


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