Elementary Geometry for College Students (6th Edition)

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

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 302: 36

Answer

We know that the longer the chord is, the longer the arc is. We also know that the length of the arc is directly related to the length of the central angle. Thus, using the transitive property, it follows that the longer the chord is, the larger the central angle is.
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