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

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$$\approx2.64 QM^2=AQ^2-AM^2 QM^2=36-9=27 QM=3\sqrt 3$$\approx$5.2 OQ=OM+MQ OQ=2.64+5.2 OQ=7.84

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