Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.2 - Graphs of Polar Equations - 8.2 Exercises - Page 600: 17

Answer

$x^2 + y^2 = 4$ See graph below

Work Step by Step

The question asks for a graph of the polar equation and to convert the equation into rectangular coordinates Given r = 2 The graph consists of all points of which the r-coordinate is 2, which is 2 units away from the origin. See graph below To convert the equation into rectangular coordinates, the following equation can be used: $x^2 + y^2 = r^2$ So $r = 2$ $r^2 = 2^2$ $r^2 = 4$ $x^2 + y^2 = 4$
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