Answer
$r= \sqrt 2$
Work Step by Step
Given: $x^2+y^2=2$
To convert this equation into polar form, we will substitute $x=rcos\theta$ and $y=rsin \theta$
$r^2cos^2\theta + r^2sin ^2\theta =2$
Thus, $ r^2=2$
or $r= \sqrt 2$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 710: 18
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