Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 311: 29b

Answer

Side AC

Work Step by Step

In a circle with multiple chords the longer chord corresponds to the larger minor arc. Since arc AC is the largest arc, chord AC must be the longest chord. The longer a chord is the closer it is to the center of a circle. Therefore chord AC is closest to point O.
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