Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 11.5, Problem 73E
To determine

To Find: The area of a regular pentagon that is inscribed in a circle with a diameter of 7.3 centimetres.

Expert Solution & Answer
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Answer to Problem 73E

The area of the pentagon is 31.7cm2 .

Explanation of Solution

Consider the radius of the circle is,

  7.32=3.65

The angle measure of α is,

  α=360°10=36°

Then, the value of the cos 36° is,

  cos36°=a3.65a=3.65(cos36°)a=2.95cm

Then,

  CE=(3.65)2(2.95)2=2.15cm

The required diagram is shown in Figure 1

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 11.5, Problem 73E

Figure 1

From the above figure,

  CD=2CE=4.3cm

Then, the area of the triangle is,

  12a(CD)=12(4.3)(2.95)=6.34cm2

Thus, the area of the pentagon is,

  5(6.34)=31.7cm2

Chapter 11 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 11.1 - Prob. 6CFUCh. 11.1 - Prob. 7CFUCh. 11.1 - Prob. 8CFUCh. 11.1 - Prob. 9CFUCh. 11.1 - Prob. 10CFUCh. 11.1 - Prob. 11CFUCh. 11.1 - Prob. 12CFUCh. 11.1 - Prob. 13CFUCh. 11.1 - Prob. 14CFUCh. 11.1 - Prob. 15CFUCh. 11.1 - Prob. 16CFUCh. 11.1 - Prob. 17CFUCh. 11.1 - Prob. 18CFUCh. 11.1 - Prob. 19CFUCh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - 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Prob. 77ECh. 11.4 - Prob. 78ECh. 11.5 - Prob. 1CFUCh. 11.5 - Prob. 2CFUCh. 11.5 - Prob. 3CFUCh. 11.5 - Prob. 4CFUCh. 11.5 - Prob. 5CFUCh. 11.5 - Prob. 6CFUCh. 11.5 - Prob. 7CFUCh. 11.5 - Prob. 8CFUCh. 11.5 - Prob. 9CFUCh. 11.5 - Prob. 10CFUCh. 11.5 - Prob. 11CFUCh. 11.5 - Prob. 12CFUCh. 11.5 - Prob. 13CFUCh. 11.5 - Prob. 14CFUCh. 11.5 - Prob. 15CFUCh. 11.5 - Prob. 16CFUCh. 11.5 - Prob. 17CFUCh. 11.5 - Prob. 18CFUCh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11.6 - Prob. 1CFUCh. 11.6 - Prob. 2CFUCh. 11.6 - Prob. 3CFUCh. 11.6 - Prob. 4CFUCh. 11.6 - Prob. 5CFUCh. 11.6 - Prob. 6CFUCh. 11.6 - Prob. 7CFUCh. 11.6 - Prob. 8CFUCh. 11.6 - Prob. 9CFUCh. 11.6 - Prob. 10CFUCh. 11.6 - Prob. 11CFUCh. 11.6 - Prob. 12CFUCh. 11.6 - Prob. 13CFUCh. 11.6 - Prob. 14CFUCh. 11.6 - Prob. 15CFUCh. 11.6 - Prob. 16CFUCh. 11.6 - Prob. 17ECh. 11.6 - Prob. 18ECh. 11.6 - Prob. 19ECh. 11.6 - Prob. 20ECh. 11.6 - Prob. 21ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - Prob. 29ECh. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Prob. 32ECh. 11.6 - Prob. 33ECh. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 36ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - Prob. 39ECh. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Prob. 44ECh. 11.6 - Prob. 45ECh. 11.6 - Prob. 46ECh. 11.6 - Prob. 47ECh. 11.6 - Prob. 48ECh. 11.6 - Prob. 49ECh. 11.6 - Prob. 50ECh. 11.6 - Prob. 51ECh. 11.6 - Prob. 52ECh. 11.6 - Prob. 53ECh. 11.6 - Prob. 54ECh. 11.6 - Prob. 55ECh. 11.6 - Prob. 56ECh. 11.6 - Prob. 57ECh. 11.6 - Prob. 58ECh. 11.6 - Prob. 59ECh. 11.6 - Prob. 60ECh. 11.6 - Prob. 61ECh. 11.6 - Prob. 62ECh. 11.6 - Prob. 63ECh. 11.6 - Prob. 64ECh. 11.6 - Prob. 65ECh. 11.6 - Prob. 66ECh. 11.6 - Prob. 67ECh. 11.6 - Prob. 68ECh. 11.6 - Prob. 69ECh. 11.6 - Prob. 70ECh. 11.6B - Prob. 1GCECh. 11.6B - Prob. 2GCECh. 11.6B - Prob. 3GCECh. 11.6B - Prob. 4GCECh. 11.6B - Prob. 5GCECh. 11.6B - Prob. 6GCECh. 11.6B - Prob. 7GCECh. 11.6B - Prob. 8GCECh. 11.7 - Prob. 1CFUCh. 11.7 - Prob. 2CFUCh. 11.7 - Prob. 3CFUCh. 11.7 - Prob. 4CFUCh. 11.7 - Prob. 5CFUCh. 11.7 - Prob. 6CFUCh. 11.7 - Prob. 7ECh. 11.7 - Prob. 8ECh. 11.7 - Prob. 9ECh. 11.7 - Prob. 10ECh. 11.7 - Prob. 11ECh. 11.7 - Prob. 12ECh. 11.7 - Prob. 13ECh. 11.7 - Prob. 14ECh. 11.7 - Prob. 15ECh. 11.7 - Prob. 16ECh. 11.7 - Prob. 17ECh. 11.7 - Prob. 18ECh. 11.7 - Prob. 19ECh. 11.7 - Prob. 20ECh. 11.7 - Prob. 21ECh. 11.7 - Prob. 22ECh. 11.7 - Prob. 23ECh. 11.7 - Prob. 24ECh. 11.7 - Prob. 25ECh. 11.7 - Prob. 26ECh. 11.7 - Prob. 27ECh. 11.7 - Prob. 28ECh. 11.7 - Prob. 29ECh. 11.7 - Prob. 30ECh. 11.7 - Prob. 31ECh. 11.7 - Prob. 32ECh. 11.7 - Prob. 33ECh. 11 - Prob. 1SGACh. 11 - Prob. 2SGACh. 11 - Prob. 3SGACh. 11 - Prob. 4SGACh. 11 - Prob. 5SGACh. 11 - Prob. 6SGACh. 11 - Prob. 7SGACh. 11 - Prob. 8SGACh. 11 - Prob. 9SGACh. 11 - 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