   Chapter 7.CR, Problem 28CR ### 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
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# In a regular polygon, each central angle measures 45 ∘ . a) How many sides does the regular polygon have?b) How many diagonals does this regular polygon have?c) If each side measures 5 cm and each apothem is approximately 6 cm in length, what is the perimeter of the polygon?

To determine

a)

To find:

The number of sides of the regular polygon.

Explanation

Given:

In a regular polygon, each central angle measures 45.

Formula used:

The measure of central angle of a regular n-sided polygon is C=360n.

Calculation:

Here C=45

To determine

b)

To find:

The number of diagonals of the regular polygon.

To determine

c)

To find:

The perimeter of the polygon.

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