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a. The area of the square is square units. (Type an integer or decimal rounded to three decimal places as needed.) b. The area of the octagon is square units. (Type an integer or decimal rounded to three decimal places as needed.) c. The area of the 16-gon is O square units. (Type an integer or decimal rounded to three decimal places as needed.)

a. The area of the square is square units. (Type an integer or decimal rounded to three decimal places as needed.) b. The area of the octagon is square units. (Type an integer or decimal rounded to three decimal places as needed.) c. The area of the 16-gon is O square units. (Type an integer or decimal rounded to three decimal places as needed.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 46E
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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) с. 16 d. Compare the areas in parts (a), (b), and (c) with the area of the circle. a. The area of the square is square units. (Type an integer or decimal rounded to three decimal places as needed.) b. The area of the octagon is square units. (Type an integer or decimal rounded to three decimal places as needed.) c. The area of the 16-gon is square units. (Type an integer or decimal rounded to three decimal places as needed.) the area of the circle, the area of the circle. d. Each area is square units. As n increases, the polygon area (Type an exact answer, using t as needed.)
Transcribed Image Text: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) с. 16 d. Compare the areas in parts (a), (b), and (c) with the area of the circle. a. The area of the square is square units. (Type an integer or decimal rounded to three decimal places as needed.) b. The area of the octagon is square units. (Type an integer or decimal rounded to three decimal places as needed.) c. The area of the 16-gon is square units. (Type an integer or decimal rounded to three decimal places as needed.) the area of the circle, the area of the circle. d. Each area is square units. As n increases, the polygon area (Type an exact answer, using t as needed.)
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