SOLUTION: Find the equation of the circle that is tangent to the line x-1=0 and x-6=0, and passes through the point (2,2).

Algebra ->  Circles -> SOLUTION: Find the equation of the circle that is tangent to the line x-1=0 and x-6=0, and passes through the point (2,2).      Log On


   



Question 750706: Find the equation of the circle that is tangent to the line x-1=0 and x-6=0, and passes through the point (2,2).
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
since our two lines are parallel, the circle's diameter must be 6-1=5 (and so r=5/2)
This means that the x-coordinate of the center must 1+5/2=7/2
Next we can write:
%28x-7%2F2%29%5E2%2B%28y-k%29%5E2=%285%2F2%29%5E2
after solving we determine that k=0.
therefore...
%28x-7%2F2%29%5E2%2By%5E2=%285%2F2%29%5E2