You can put this solution on YOUR website! The graph y=abs(x) forms a "v" pointing downward with the point located at the origin (0,0). The open angle of the "v" is a right angle.
The radii of the circle tangent to both branches of the "v" intersect the branches of the "v" at right angles and form a square with the center of the circle at the corner of the square diagonally opposite the origin.
For a circle of radius 4, forming a square of side 4, the length of the diagonal is
Using the general equation for a circle with radius 4 centered at (0,) gives: