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:
$r = \frac{ab}{a+b+c} \\ r = \frac{6(10.4)}{6+10.4+12} \\ r = 2.19$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 391: 44
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