# Chapter 10 - Section 10.1 - Distance and Midpoint Formulas; Circles - Exercise Set - Page 765: 47

Center: $(-2, -2)$ Radius = $2$ units

#### Work Step by Step

RECALL: The standard form of the equation of a circle with a center at $(h,k)$ and a radius of $r$ units is: $(x−h)^2+(y−k)^2=r^2$ The given equation can be written as $(x+2)^2+(y+2)^2=2^2$. This is the same form as the standard equation above, so its center must be at the point $(-2, -2)$ and its radius must be $2$. Thus, the circle has: center: $(2, 2)$ radius = $2$ units To graph the equation, do the following steps: (1) Plot the center $(-2, 2)$, and then locate the points 2 units to the left, to the right, above, and below the circle's center. These points are: $(-4, 2) \\(0, -2) \\(-2, 0) \\(-2, -4)$ (ii) Connect the four points (excluding the center) together using a curve to form a circle. (Please refer to the attached image in the answer part above.)

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