Trigonometry Examples

{(x + 3)}^{2} + {(y - 3)}^{2} = 144

${(x + 3)}^{2} + {(y - 3)}^{2} = 144$

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}

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

Step 2

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

r

$r$ 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 = 12

$r = 12$

h = - 3

$h = - 3$

k = 3

$k = 3$

Step 3

The center of the circle is found at

(h, k)

$(h, k)$ .

Center:

(- 3, 3)

$(- 3, 3)$

Step 4

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

Center:

(- 3, 3)

$(- 3, 3)$

Radius:

12

$12$

Step 5