Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 366: 5

Answer

68.4 in

Work Step by Step

Given in a regular polygon,each central angle measures 30$^{\circ}$ Each side of the polygon =5.7 in We need to find the perimeter of the polygon We know the relationship between the central angle and number of sides Central angle = $\frac{360 ^{\circ} }{n}$ 30 $^{\circ}$ = $\frac{360 ^{\circ} }{n}$ n = $\frac{360}{30}$ = 12 Therefore the polygon consist of 12 sides The perimeter of polygon = np = 12*5.7 = 68.4 in
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.