Find the Center and Radius (x+7)^2+(y+8)^2=4/9

${(x + 7)}^{2} + {(y + 8)}^{2} = \frac{4}{9}$

Step 1

This is the form of a circle. Use this form to determine the center and radius of the circle.

${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$

Step 2

Match the values in this circle to those of the standard form. The variable $r$ represents the radius of the circle, $h$ represents the x-offset from the origin, and $k$ represents the y-offset from origin.

$r = \frac{2}{3}$

$h = - 7$

$k = - 8$

Step 3

The center of the circle is found at $(h, k)$ .

Center: $(- 7, - 8)$

Step 4

These values represent the important values for graphing and analyzing a circle.

Center: $(- 7, - 8)$

Radius: $\frac{2}{3}$

Step 5

Find the Center and Radius (x+7)^2+(y+8)^2=4/9

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