I'm snapping tangents to connect two circles. Everything looks fine till I zoom in and the tangents are not actually touching the circles which leaves me with a gap.
I've tried changing the resolution but this does not work...
Thanks for any advise.

Thanks for the reply, I'm fairly new at this.

I selected one of the lines then used the select chain in the edit menu and nothing seemed to happen. I also tried select all with select chain and nothing. Still gaps when I zoom in or try and extrude.

I'm using the top view as this is in 2D.

I'm not clear as to which tangent you are using. There is a logic cursor tangent and a constraint tangent. The constraint tangent doesn't need the line to touch the circle, it can be tangent with the circle but not necessarily tangent on the circle. In this case, use the extend tool to intersect the circle. If the line extends past the circle, use the trim tool.

To use the logic cursor select the line tool and move your cursor over the circle and look for the word "on" to popup, only the on should be seen. Click, hold, and drag away from the circle then pause, the word "tangent" should popup. Continue dragging to the second circle and follow the circle edge until "tangent" pops up again, release the mouse. Click and hold is the key for this to work. Another option here is to drag the mouse away from the circle at 90° and the word "perpendicular" will popup. This is will give you a line perpendicular to the circle.

the visualization on the display (with it's limited resolution) does in general not represent the true geometric model, i.e. will show gaps etc. if zooming far enough in. Therefore geometry and their construction points and geometric relationships shouldn't be evluated by trying to zoom in to extreme zoom scales but by using the snapping and coordinates shown by the 'Inspector' only.

Hi there
My 2 cents worth.

Some times I use the corner trim tool or (trim 2 entities tool at corners tool)
That rejoins the lines seamlessly.
If it doesn't rejoin it often means I have gone out of 2D mode and slipped into 3D mode and it wont trim because I am in a different plane.
The lines might look all good to trim but the lines are not even close. ((Try holding down AlT with your left hand, hold down right click and drag mouse at the same time,)) Press "D" to return to normal, (anyway thats how my shortcuts work.)
With the circles I use the break tool on the inside of the object, generally in 2 places near where I want to trim, the reason for that is that the circle lines have directional memories and the trim at corners tool can delete parts of the circle that you want.
It you break it in 2 places it generally stops this.

Little vid explaining what I mean

😉👍