Question 577656: I am working on algebra homework involving circles and identifying the center and radius.
I got part of this equation correct, some of it by guessing.
I need assistance figuring out the radius please.
My problem is as follows.
Identify the center & radius of the circle written in standard form.
Center (x,y) ( , )
Radius,
x^2 + (y+5)^2=27
I figured out/guessed, (x,y) is (0, -5)
I dont know how to figure the radius. I have tried 27, 27^2, 729, all incorrect
I am at a loss. I would appreciate any help possible. Thank you.
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! You are right in saying that the center is the point (0,-5).
The radius is:
r^2 = 27
Take the square root of both sides.
sqrt{r^2} = sqrt{27}
r = sqrt{9}*sqrt{3}
r = 3(sqrt{3}).
The radius is 3 times the square root of 3.
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