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Mathematics 7 Online
OpenStudy (ria23):

Can somebody help me with this question, it has to do with graphing circles.

OpenStudy (anonymous):

go to walmart and buy yourself a compass

OpenStudy (ria23):

Haha, yhur so funny. -_-

OpenStudy (dumbcow):

\[(x-h)^2 + (y-k)^2 = r^2\]

OpenStudy (dumbcow):

(h,k) is center r = radius

OpenStudy (ria23):

So, how would I set up the equation?

OpenStudy (reemii):

in the equation you can see \(x^2\) , that means h = 0 in the equation given by dumbcow. you also see \((y+3)^2=(y-(-3))^2\), that means \(k=-3\). -> center is \((0,-3)\). that's what the LHS tells you. the RHS gives the radius.

OpenStudy (ria23):

Ok, so I know my answer... But I'm not quite sure... How I find the radius... So I have the center... I don't... oy. circles. I don't know how I find the radius... my teacher either squared it, or took the square root to get it... Se just kind of pulled numbers... I don't know how to find it...

OpenStudy (reemii):

on the left side, everything is "already as as it should" = "in the form \((x-h)^2+(y-k)^2\)" thanks to this you can tell what the center of the circle is. When "things are right" on the left hand side, the right hand side IS equal to \(r^2\). Here, you read 9. From there you know that the radius is \(\sqrt9=3\). actually, in the options A,B,C,D, there's only one of the circles who has center (0,-3) so you didn't really need to find the radius.

OpenStudy (ria23):

I know c: I just didn't know how I would find the radius in these kinds of equations. So, I do take the square root? Or is that only for certain cases?

OpenStudy (reemii):

if you're dealing with circle equations, the equation will always "display" \(r^2\).

OpenStudy (ria23):

Oh. Alright. Thank yhu so much for yhur help reemii and @dumbcow

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