Answer
$S=kr^{2}\theta^{2}$
Work Step by Step
Since $S$ is directly proportional (jointly) to the square of $r$ and the square of $\theta$, we have::
$S=kr^{2}\theta^{2}$
(and $k$ is a constant.)
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.10 - Modeling Variation - 1.10 Exercises - Page 164: 16
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