Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
5. Circles in the Coordinate Plane
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Exercise 2 Page 800

(x-1)+(y+1)^2=5

Practice makes perfect
Let's start by recalling the standard form of an equation of a circle.

(x- h)^2+(y- k)^2= r^2 In this form, ( h, k) is the center of the circle and r is its radius. We are told that the center of the circle is ( 1, -1) and its radius is sqrt(5). This is enough information to write the equation. (x- 1)^2+(y-( -1))^2=( sqrt(5))^2 ⇕ (x-1)^2+(y+1)^2=5