Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 378: 19

Answer

317.52 $in^{2}$

Work Step by Step

Given that the length of the apothem a of a regular octagon is = 9.8 in The side of the octagon s is 8.1 in We need to find out the area of the octagon The area of the regular polygon whose apothem has length a and whose perimeter p is given by A = $\frac{1}{2}$ ap Given apothem a = 9.8 in perimeter of octagon = ns = 8 * 8.1 = 64.8 in A = $\frac{1}{2}$ ap A = $\frac{1}{2}$ * 9.8in * 64.8 in = 317.52 $in^{2}$
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.