The Quartercircle Heritage
 Once upon a time, two brothers Pete and Paul inherited a fenced piece of land that had the shape of a quarter circle.
Each borther should own half the area. But pete had cows and Paul had sheep, so they needed a separating fence.
Pete suggested they build an additional piece of fence that would divide the land intio two equal areas.
Paul argued "Every meter of fence is so expensive nowadays. We should better make sure that we build the shortest
fence possible."
  What is the shortest fence that divides a quarter circle into two shapes of equal area?

There are at least six ways to attack this problem, so take your time for this one...

For the solution, click here.

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