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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
icon
Related questions
Question
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.)
Expert Solution
Step 1

Follow the procedure given below.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL