I don't know the answer yet, only that there is one. A person is in the forest. He knows that the edge of the forest at one point is exactly one kilometer away. What is the quickest way for him to find out where this spot is? One possibility is to go straight for one kilometer and then go in a perfect circle around his starting point. But there are quicker ways. Do you know one?

Answers only from qualified persons, please, who don't make fun of mathematicians and their life-unrelated riddles.

Nevermind, that wouldn't work. I'd think there's something to do with measuring out to a spot on the edge, and then using some sort of triangular equation to get to the spot you want. That's just a guess though.

Okay, I found one solution. Go to the edge of the imagined circle (=1), then go round the circle for 3/4 of the circle and then drop a perpendicular on the equilateral triangle that you can draw around the circle. This brings the route down from approximately 7.28 km to 6.7km. But I know that it can be done even shorter but cannot for the life of me figure it out!!