eden coughed up some electrons that declared:

I have a small front garden in a victorian cottage on farmland with no
rainwater drains, soakaways or anywhere that one could be placed. I
have a downpipe terminating in a shoe that needs extending to drain
away from the house. Using a straight gutter length to the farm track
outside my house would have to go through the gate. A flexible pipe
that I could angle through the garden and out the opposite corner
would be ideal if such a thing exists?

Not seen such a thing. Usually you have to fiddle about with 100 (or 82mm)
and use either a universal angle joint (adjustable) or random other angles
until you get where you are going. 110mm will allow some curvature over a
long length, but not a lot.