Explanation Formula used: The standard equation of the circle with center at ( h , k ) and radius r is ( x − h ) 2 + ( y − k ) 2 = r 2 . Calculation: Consider the given equation 9 x 2 + 9 y 2 = 36 x − 12 . The given equation of the circle is not in the standard form rewrite the equation into standard form as follows, 9 x 2 + 9 y 2 = 36 x − 12 9 x 2 − 36 x + 9 y 2 = − 12 Divide the equation by 9 on both sides. x 2 − 4 x + y 2 = − 12 9 x 2 − 4 x + y 2 = − 4 3 In order to complete the square of the x terms add 4on both sides of the equation as follows, ( x 2 − 4 x + 4 ) + y 2 = − 4 3 + 4 ( x − 2 ) 2 + (

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 21.3, Problem 36E

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To find: The center and radius of the circle 9x2+9y2=36x−12.

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Chapter 21.3, Problem 35E

Chapter 21.3, Problem 37E

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Chapter 21 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

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The center and radius of the circle 9 x 2 + 9 y 2 = 36 x − 12 .

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To find: The center and radius of the circle 9x2+9y2=36x−12.

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Chapter 21 Solutions