Chapter 8.CR, Problem 41CR

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Regular pentagons ABCDE and A ' B ' C ' D ' E ' are centered about point O, as shown. With A ' B ' = 12 , A B = 6 , and B B ' = 5 , find the area of the shaded region.

To determine

To find:

The area of the shaded region.

Explanation

Formula:

The area of regular pentagon A=145(5+25)a2

Where a is the length of side of the pentagon.

Calculation:

Consider the following diagram:

To find the area of the regular pentagon ABCD:

A=145(5+25)a2

a = 6

A=145(5+25)(6)2â‰ˆ14(6.88)(36)â‰ˆ(6.88)(9)â‰ˆ61

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