   Chapter 11.2, Problem 44E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# In regular pentagon ABCDE, each radius has length r. in terms of r, find an expression for the perimeter 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 perimeter of pentagon is P=5a

The radii of a regular pentagon is r. the apothem bisect the base that is

The central angle of the regular pentagon measures 3605 or 72

An apothem bisects its angle so, the angle formed by the apothem 36

General formula for cosine ratio and sin ratio is given below,

From the given figure the value radius r is the hypotenuse value since it is opposite to right angle

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Evaluate the integral. 02(x1)3x2dx

Single Variable Calculus: Early Transcendentals, Volume I

#### Evaluate the integral. 51. 1x4x2+1dx

Single Variable Calculus: Early Transcendentals

#### True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

#### In Exercises 1320, plot the point on a set of coordinate axes. (8,72)

Finite Mathematics for the Managerial, Life, and Social Sciences

#### What is the partial fraction form of ?

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 