Question

I need help finding the radius to this question:

Circle o is represented by the equation (x+2)^2 + (y-5)^2=48.The coordinates of the center and the length of the radius of circle O are....

Answer 1

To find the center you would set (x+2) and (y-5) equal to 0. Solving for x and y, you get that x=-2 and y=5. Center: (-2,5). You can also think of this as solving for the additive inverse of 2 and -5. To find the radius, simply take the square root of 48, leaving you with 4√3.
Remember the from is (x-h)²+(y-k)²=R² To find R just take the square root of the constant.

Answer 2

I'm sorry I can't think of a way to explain this right now. Maybe my brain
is just fried from a long day, I don't know. I really hate it when people get
on here and hand out answers with no explanation, but that's the best that
I can do right now.

I can tell you that the center of the circle is the point (-2, 5),
and the length of the radius is √48 = 4√3 = about 6.928 .