You can use the distance formula with the (h, k) and r values to obtain the standard form of the equation of a circle, which is: r 2 = ( x − h ) 2 + ( y − k ) 2 . find an equation for a circle. It has a point (1, -2) that is on the circle and a center of (3, 5). What is the standard form of the equation for this circle? Where in the equation would you replace the values for (x, y) and (h, k)?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 88E
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You can use the distance formula with the (h, k) and r values to obtain the standard form of the equation of a circle, which is: r 2 = ( x − h ) 2 + ( y − k ) 2 . find an equation for a circle. It has a point (1, -2) that is on the circle and a center of (3, 5). What is the standard form of the equation for this circle? Where in the equation would you replace the values for (x, y) and (h, k)?

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