   Chapter 11.2, Problem 45E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Consider regular pentagon ABCDE of Exercise 44. In terms of radius length r, find an expression for the area of ABCDE.

To determine

To find:

An expression for the perimeter of ABCDE if regular pentagon ABCDE, each radius has length r.

Explanation

Consider the following figure,

The area of polygon is

A=r2nsin(360n)2

Where r is the radius and n is number of sides.

Consider for pentagon givne that radius = r and n=5.

Substitute the avlue of r and n in the above area equaiton to get the following,

A=r2(5)sin(3605)2=<

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