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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