Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 380: 44

Answer

r = 2.19

Work Step by Step

We first use trigonometry to find the missing sides: $ AC = 12sin(60) = 10.4 $ $ BC = 12 cos(60) = 6$ We use the known formula to obtain: $r = \frac{ab}{a+b+c} \\ r = \frac{6(10.4)}{6+10.4+12} \\ r = 2.19$
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