Question 707702: What is the equation of a circle with center (5,-7) and diameter 6? Found 2 solutions by stanbon, nerdybill:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! What is the equation of a circle with center (5,-7) and diameter 6?
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radius = 3
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Equation:
Let (x,y) be any point on the circle.
(x-5)^2 + (y+7)^2 = 3^2
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Cheers,
Stan H.
You can put this solution on YOUR website! What is the equation of a circle with center (5,-7) and diameter 6?
.
Standard form of a circle is:
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) is the vertex or center
and
r is the radius
.
if diameter is 6
radius (r) is 6/2 or 3
.
Plug into circle equation:
(x-5)^2 + (y-(-7))^2 = 3^2
(x-5)^2 + (y+7)^2 = 9