Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 276: 19

Answer

OQ=7.84

Work Step by Step

Name the point where AB and OQ intersect point M. OM$^2$=AO$^2$-AM$^2$ OM$^2$=16-9=7 OM=$\sqrt 7$$\approx$2.64 QM$^2$=AQ$^2$-AM$^2$ QM$^2$=36-9=27 QM=3$\sqrt 3$$\approx$5.2 OQ=OM+MQ OQ=2.64+5.2 OQ=7.84
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