Question 43224
<pre><font size = 5><b>Give the equation for the circle with center
C(3,-2) and radius 4. I came out with
(x-3)^2+(y-2)^2=16. But I'm not sure if I
worked it our right. thanks for looking it 
over.

You missed one sign

(x - h)² + (y - k)² = r²

h = 3, k = -2

[x - (3)]² + [y - (-2)]² = (4)²

[x - 3]² + [y + 2]² = 16

(x - 3)² + (y + 2)² = 16

To do it quickly just remember
to change both signs of the
coordinates of the center.

{{{ graph( 200, 200, -9, 9, -9, 9, sqrt(16-(x-3)^2)-2, -sqrt(16-(x-3)^2)-2) }}}

Edwin</pre>