Goat eating grass from inside a circle with radius r

Goat eating grass from inside a circle with radius r

The goat is hooked a the perifer of circle: How long shall the rope be to let goat eat 1/2 of the grass?

Hello Guest!

The goat problem is discussed in great detail and

in a comprehensible manner with the link below.

Unfortunately in German.
But you can help with the Google translator.

http://www.khloebel.de/mathe/Ziege/Ziege.html

R ≈ 1.58r (k.h.loebel)

\(r\sim R\)

Have fun with the goat problem

  !