   Chapter 8.CR, Problem 22CR ### 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 a regular polygon, each central angle measures 45 ∘ .a) How many sides the regular polygon have?b) If each side measures 5 cm and the length of each apothem is approximately 6 cm, what is the approximate area of the polygon?

To determine

(a)

To find:

The number of sides the regular polygon have.

Explanation

Central angle:

A central angle of regular polygon is the angle formed by two consecutive radii of regular polygon.

Calculation:

It is stated that central angle of regular polygon is C=45

Suppose there are n sides in a regular polygon.

Then the measure of central angle of n side is

C=360n

Where n is the number of sides of polygon.

To find the regular polygon have how many sides we have to rearrange the above formula as follows:

To determine

(b)

To find:

The approximate area of the polygon.

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