Elementary Geometry for College Students (6th Edition)

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

Chapter 7 - Review Exercises - Page 338: 29a


24 inches

Work Step by Step

The apothem of a regular polygon forms a right triangle with half of a side and a radius. Since the apothem has a length of 3 and half of a side has a length of 3, it is a 45 45 90 triangle. The central angle of the polygon is equal to twice the measure of the angle between the apothem and the radius which in this case is 45 degrees. Therefore the central angle has a measure of 90 degrees. A regular polygon with right central angles is a square. P=4s P=4(6) P=24
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