Chapter 8.4, Problem 38E

### 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

# In exercises 34-45, use your calculator value of π unless otherwise stated. Round answers to two decimal places.Find the approximate area of a regular polygon that has 20 sides if the length of its radius is 7 cm.

To determine

To Find:

The area of a regular polygon that has 20 sides

Explanation

It is given that the polygon has 20 sides.

We know that, when the number of sides of a polygon (n) becomes larger and larger the perimeter of the regular polygon approaches the perimeter of the circle.

It means, Pâ†’C

Therefore, the perimeter of the polygon is C=2Ï€r.

Therefore, the perimeter of the polygon is C=2â‹…227â‹…7=43.96.

The perimeter of the polygon is 44 cm.

Next, at larger values of n, the apothem of a polygon approaches the radius of the polygon

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