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

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 $3$.

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