Examples

2 x^{2} + 2 y^{2} = 4

$2 x^{2} + 2 y^{2} = 4$

Step 1

Divide both sides of the equation by

2

$2$ .

x^{2} + y^{2} = 2

$x^{2} + y^{2} = 2$

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 = \sqrt{2}

$r = \sqrt{2}$

h = 0

$h = 0$

k = 0

$k = 0$

Step 4

The center of the circle is found at

(h, k)

$(h, k)$ .

Center:

(0, 0)

$(0, 0)$

Step 5

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

Center:

(0, 0)

$(0, 0)$

Radius:

\sqrt{2}

$\sqrt{2}$

Step 6

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