Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - Review Exercises - Page 744: 74

Answer

$${\text{The equation represents a circle with radius }}r = 10$$

Work Step by Step

$$\eqalign{ & r = 10 \cr & {\text{Convert to rectangular form, using }}x = r\cos \theta ,{\text{ }}{r^2} = {x^2} + {y^2} \cr & \sqrt {{x^2} + {y^2}} = 10 \cr & {x^2} + {y^2} = 100 \cr & {\left( {x - h} \right)^2} + {\left( {y - k} \right)^2} = {r^2} \cr & {\text{The equation represents a circle with radius }}r = 10 \cr & {\text{centered at the origin}}{\text{.}} \cr & {\text{Graph}} \cr} $$
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