# Chapter 1 - Section 1.9 - Distance and Midpoint Formulas; Circles - Exercise Set - Page 280: 36

$(x+3)^2+(y-5)^2=9$

#### Work Step by Step

RECALL: The standard equation of a circle whose center is at $(h, k)$ and has a radius of $r$ units is: $(x-h)^2 + (y-k)^2 = r^2$ The given circle has its center at $(-3, 5)$ and a radius of 3 units. Thus, the standard form of the circle's equation is: $(x-(-3))^2+(y-5)^2=3^2 \\(x+3)^2+(y-5)^2=9$

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