Answer
$ A(shaded) = 36 \pi - 54 \sqrt3$
Work Step by Step
Solving for the area of the circle is elementary:
$A= \pi r^2 = 36 \pi$
We also know that the area of the hexagon is:
$A = 3 \sqrt 3 /2(6^2)$
This gives:
$ A(shaded) = 36 \pi - 54 \sqrt3$
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
9781285195698
ISBN 13:
978-1-28519-569-8
Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 373: 26
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