SOLUTION: Can you please hep me solve this question: Find the equation of the circle with its center in the 3rd quadrant that is tangent to the lines, x=2,x=-6, and y=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can you please hep me solve this question: Find the equation of the circle with its center in the 3rd quadrant that is tangent to the lines, x=2,x=-6, and y=0      Log On


   



Question 856694: Can you please hep me solve this question: Find the equation of the circle with its center in the 3rd quadrant that is tangent to the lines, x=2,x=-6, and y=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Tangent to x=2 and x=-6 means the center sits on the average or x=%28-6%2B2%29%2F2=-2 and the radius equal to R=4
Since it's tangent to y=0, the center sits at y=0-4=-4
So the center is (-2,-4) and the radius is 4.
The general equation for a circle centered at (h,k) with a radius R is :
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
%28x-%28-2%29%29%5E2%2B%28y-%28-4%29%29%5E2=4%5E2
%28x%2B2%29%5E2%2B%28y%2B4%29%5E2=16
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