Chapter 8.3, Problem 9E

### 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 a particular type of regular polygon, the length of the radius is exactly the same as the length of a side of the polygon. What type of regular polygon is it?

To determine

To find:

The type of regular polygon.

Explanation

The measure of any central angle of a regular polygon of n sides is given by c=360âˆ˜n

Calculation:

It is given that the length of the radius is exactly the same as the length of a side of the polygon Consider a triangle QED where ED is the side and QE, QD are the radii of the regular polygon.

Since, all the sides of the triangle are equal.

Hence, it is an equilateral and equiangular triangle.

Therefore, all the angles of the triangle are 60Â°

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