Examples

$\frac{{(x - 3)}^{2}}{3} + \frac{{(y - 2)}^{2}}{3} = 3$

Step 1

Multiply each term on both sides of the equation by $3$ .

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

Step 2

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 3

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.

$r = 3$

$h = 3$

$k = 2$

Step 4

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

Center: $(3, 2)$

Step 5

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

Center: $(3, 2)$

Radius: $3$

Step 6

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