Answer
The curve is a circle of raduis $3$.
Work Step by Step
Since $x=3\cos t$ and $y=3\sin t$, then we have
$$x^2+y^2=9\cos^2t+9\sin^2t=9.$$
So the curve is a circle of raduis $3$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Preliminary Questions - Page 602: 1
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