Explanation Result used: The radius r of a circle is the distance between any point ( x , y ) on the circle and the center of the circle ( h , k ) , given by r = ( x − h ) 2 + ( y − k ) 2 . The standard form of an equation of a circle with radius r and center ( h , k ) is ( x − h ) 2 + ( y − k ) 2 = r 2 . Calculation: From the given figure, the point ( 1 , 0 ) represents the point on a circle with center ( 1 , 2 ) . Find the distance between the point ( 1 , 0 ) and the center ( 1 , 2 ) , in order to find the radius of the circle. r = ( x − h ) 2 + ( y − k ) 2 = ( 1 − 1 ) 2 +

College Algebra: Concepts Through Functions (3rd Edition)

3rd Edition

ISBN: 9780321925749

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter F.4, Problem 8AYU

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The center and radius of the given circle and write the standard form of the equation.

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Chapter F.4, Problem 7AYU

Chapter F.4, Problem 9AYU

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Chapter F Solutions

College Algebra: Concepts Through Functions (3rd Edition)

Ch. F.1 - Prob. 1AYU Ch. F.1 - If −3 and 5 are the coordinates of two points on...Ch. F.1 - If 3 and 4 are the legs of a right triangle, the...Ch. F.1 - Use the converse of the Pythagorean Theorem to...Ch. F.1 - Prob. 5AYU Ch. F.1 - Prob. 6AYU Ch. F.1 - Prob. 7AYU Ch. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - Prob. 9AYU Ch. F.1 - If three distinct points P, Q, and R all lie on a...

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