Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 7 - Section 7.3 - More about Regular Polygons - Exercises - Page 332: 16

Answer

r=$\frac{20\sqrt 3}{3}$ s=$\frac{20\sqrt 3}{3}$

Work Step by Step

The radius and side of a regular hexagon are congruent. the apothem is the altitude of an equilateral triangle formed by its two surrounding radii and connected side. Therefore the apothem is the long leg of a 30 60 90 triangle with a radius for a hypotenuse. a=.5s$\sqrt 3$ 20=s$\sqrt 3$ s=$\frac{20\sqrt 3}{3}$ r=s=$\frac{20\sqrt 3}{3}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.