find the equation of the circle that tangent four lines
(y=x-1) (y=x+1) (y=-x+1) (y=-x+3)
how i can find the center ? enter image description here
2026-04-10 08:25:27.1775809527
find the equation of the circle that tangent 4 lines
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1
By a simple graph we can easily see that $C(1,1)$ and $R=\frac{\sqrt2}{2}$
thus the equation of the tangent circle is
$$(x-1)^2+(y-1)^2=\frac12$$