Find the Center and Radius

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

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

Enter YOUR Problem

Conic Sections

More step-by-step Algebra examples from this chapter.

Identifying Conic Sections Finding a Circle Using the Center and Another Point Finding a Circle by the Diameter End Points Finding the Parabola Equation Using the Vertex and Another Point Finding the Properties of the Parabola Finding the Vertex Finding the Vertex Form of the Parabola Finding the Vertex Form of an Ellipse Finding the Vertex Form of a Circle Finding the Vertex Form of a Hyperbola Finding the Standard Form of a Parabola Finding the Expanded Form of an Ellipse

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$