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
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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) (Show Source): You can put this solution on YOUR website!
the standard formula is: where and are the and coordinates of the center of the circle, and is radius
in your case we have:
if you compare it to the standard formula, you see that
, -the coordinates of the center,
so, center is at (,)
and -the radius and diameter
Answer by stanbon(75887) (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
------------------------------------------------
What are the coordinates of the center?
Ans: (2,-3)
--------------------
What are the radius and diameter of the circle?
Ans: radius = sqrt(9) = 3
Diameter = 2r = 6
============================
Cheers,
Stan H.
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