A circle is described by the equation (x−1/2 )^2 +(y−3/2 )^2 =4/9 . What are the cordinates for the center of the circle and the length of the radius?
A) (-1/2 ,-3/2 ) , 2/3 units
B) (-1/2 ,-3/2 ) , 4/9 units
C) (1/2 ,3/2 ) , 4/9 units
D) (1/2 ,3/2 ) , 2/3 units

Question

A circle is described by the equation (x−1/2  )^2 +(y−3/2  )^2 =4/9   . What are the cordinates for the center of the circle and the length of the radius? 
A) (-1/2  ,-3/2  ) , 2/3  units 
B) (-1/2  ,-3/2  ) , 4/9  units 
C) (1/2  ,3/2  ) , 4/9  units 
D) (1/2  ,3/2  ) , 2/3  units

austinl · Answer

I'm sorry, you need to clean up the presentation a little bit. As is, I am unable to tell just, what exactly, it is saying.

anonymous · Answer

BETTER?

austinl · Answer

Much better actually. Now, gimme a sec to think it over and find you a formula :)

anonymous · Answer

thank you :)

austinl · Answer

$(x-h)^2+y-k)^2=r^2$

$(h,k)$ is your center.
$r$ is your radius

Now from what you can see here, what do you think would be the best answer?
Sorry about the delay, I had to search like a mad man for my charger cable.

anonymous · Answer

b?

austinl · Answer

That is not the answer that I would go with. Try again :)

anonymous · Answer

Remember the signs of h and k change when you plug them into the equation @lindsay008

anonymous · Answer

d?

austinl · Answer

I would agree.

$\Large{\sqrt{\frac{4}{9}}=\frac{\sqrt{4}}{\sqrt{9}}=\frac{2}{3}}$

That is how the radius is derived as well, in case you just guessed :P

anonymous · Answer

so it should be d ? lol

austinl · Answer

Yes.

austinl · Answer

My question is this though, do you see how?