MathDB

A road has constant width. It is made up of finitely many straight segments joined by corners, where the inner corner is a point and the outer side is a circular arc. The direction of the straight sections is always between

NE

(

45^o

) and

SSE

(

157 1/2^o

). A person wishes to walk along the side of the road from point

A

to point

B

on the same side. He may only cross the street perpendicularly. What is the shortest route?
[figure missing]

Problem Statement