Examples

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

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

Step 1

Multiply each term on both sides of the equation by

3

$3$ .

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

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

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}

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

Step 3

Match the values in this circle to those of the standard form. The variable

r

$r$ represents the radius of the circle,

h

$h$ represents the x-offset from the origin, and

k

$k$ represents the y-offset from origin.

r = 3

$r = 3$

h = 3

$h = 3$

k = 2

$k = 2$

Step 4

The center of the circle is found at

(h, k)

$(h, k)$ .

Center:

(3, 2)

$(3, 2)$

Step 5

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

Center:

(3, 2)

$(3, 2)$

Radius:

3

$3$

Step 6

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