   Chapter 8.3, Problem 6E 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

In a regular polygon, each interior angle measures 135°. If each side of the regular polygon measures 4.2 cm, find the perimeter of the polygon.

To determine

To find:

The perimeter of a regular polygon.

Explanation

1) The measure of each interior angle of a regular polygon is given by I=(n2)180n

2) The perimeter of a regular polygon is given by P = ns, where n is the number of sides and s is the length of any side.

Calculation:

It is given that the central angle of the regular polygon is 135°.

Use the formula of interior angle, I=(n2)180n

Substitute I =135° in I=(n2)180n

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