SOLUTION: For the circle with equation (x – 2)^2 + (y + 3)^2 = 9, answer each question: What are the coordinates of the center? What are the radius and diameter of the circle? Graph the

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: For the circle with equation (x – 2)^2 + (y + 3)^2 = 9, answer each question: What are the coordinates of the center? What are the radius and diameter of the circle? Graph the      Log On


   

Question 754459: For the circle with equation (x – 2)^2 + (y + 3)^2 = 9, answer each question:
What are the coordinates of the center?
What are the radius and diameter of the circle?
Graph the circle.
If I could have an explanation to how to find the answers, that would be great. Im trying to understand how I would find it.
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the standard formula is:+%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 where h and k are the x and y coordinates of the center of the circle, and r is radius
in your case we have:
%28x+-2%29%5E2+%2B+%28y+%2B+3%29%5E2+=+9

%28x-2%29%5E2+%2B+%28y+%2B+3%29%5E2+=+3%5E2 if you compare it to the standard formula, you see that
h=2, k=-3-the coordinates of the center,
so, center is at (2,-3)
r=3 and d=6-the radius and diameter




Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For the circle with equation (x – 2)^2 + (y + 3)^2 = 9, answer each question:
You have to recognize this circular equation form.
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
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What are the coordinates of the center?
Ans: (2,-3)
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What are the radius and diameter of the circle?
Ans: radius = sqrt(9) = 3
Diameter = 2r = 6
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Cheers,
Stan H.
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