Question 832265: Find the General Equation of the circle
5) With radius 3 touching both axes
Found 2 solutions by Fombitz, nerdybill: Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Touching both axes gives you 4 possible circle choices.
The center of the circle could be at ( , ),( , ),( , ) or ( , ).
The general equation of a circle is,

where ( , ) is the center and is the radius.
So, one choice would be,
with ( , ) as the center.
You can complete the other 3 choices similarly.
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Find the General Equation of the circle
5) With radius 3 touching both axes
If we want the circle in the upper right of the graph the center is at:
(3,3)
General equation of a circle is
(x-h)^2 + (y-k)^ = r^2
plugging in what we know:
(x-3)^2 + (y-3)^ = 3^2
or
(x-3)^2 + (y-3)^ = 9
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