Calculus (3rd Edition)

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 - Exercises - Page 603: 35


$$x= 3+4\cos t, \quad y= 9+4\sin t.$$

Work Step by Step

The parametric equations for a circle of radius $R=4$ and center $(3,9)$ are $$x=a+R\cos t=3+4\cos t, \quad y= b+R\sin t= 9+4\sin t.$$ That is, $$c(t)=(x(t),y(t))=(3+4\cos t,9+4\sin t).$$
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