In the remarkable county of Semicircle, two roads connect the towns of A and F.
One road is perfectly straight; and it forms the diameter of the other road - a perfect semicircle.
Somewhere along the semicircular road are the towns of B, C, D and E.
Remarkably, both A and F towns are an exact number of miles from the other four, as are A and F themselves.
That is, the distance from town A to the other five towns is an exact number of miles; the same is true for town F.
This could not be true if the straight road were any shorter.
What is the distance of town A from town F?