Question

@Data_LG2
@ganeshie8
Do you know how to do this problem?

Answer 1

compare it with the standard form of equation of circle :
\[\large (x-h)^2 + (y-k)^2 = r^2\]


center = \(\large (h,k)\)
radius = \(\large r\)

Answer 2

so since the formula is already filled out in the problem,
I basically plug in the answer choices given into x and y- until you get 9/4 , correct?

Answer 3

nope, we just compare both the equations : apples to apples and coconuts to coconutes

Answer 4

Your given equation :

\[\large (x-1)^2 + \left(y + \frac{3}{2}\right)^2 = \frac{9}{4}\]

Answer 5

can we rewrite like this :

\[\large (x-1)^2 + \left(y -(- \frac{3}{2})\right)^2 = \frac{9}{4}\]

?

Answer 6

Next we compare it with below standard equation :

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

Answer 7

You get :

h = 1
k = -3/2

r^2 = 9/4

Answer 8

So, center = \(\large (h, k) = \left(1, -\frac{3}{2}\right)\)

Answer 9

find the raidus

Answer 10

@ganeshie8 Sorry for the delay, I stepped away for a couple minutes and then OS went to updates when I wanted to comment.

Thank you for partially working it out,
thus guiding me on the proper direction to take in order to solve for radius,
which is \[\frac{ 3 }{ 2 } (:\]