Question

Is it possible for two tangents to intersect outside the circle?

Answer 1

No.

Explanation:

When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees. This means the angle would have a measure of one half times the difference of 180 and 180, which is 0. An angle with a zero degree measure could not intersect a circle on opposite sides.

Answer 2

No.

Explanation:

If they do intersect, the measurement of the angles they form is a half the difference of the intercepted arcs; both of the intercepted arcs would measure 180 degrees.