No, as tangents connected to a circle on opposite sides of the diameter would be essentially rays, or continuous lines in one direction, that extend infinitely in opposite directions.
No, the tangents can't intersect outside of the circle. When they do intersect, the measurment of the angles they form is a half the difference of the intercepted arcs then both of the intercepted arcs would measure 180 degrees.
Well 1 could be anything you want it to equal to so . if your using thirds 2/3 can fit into one once because if you do it twice you’d get 4/3 and that’s over 1