The Magdeburg hemispheres

A square containing a circle and two semicircles, all three having the same radius. What fraction is purple?

Scroll down for a solution to this problem.


The purple fraction is approximately 53,4%.

Solution by Amaresh G S.


In Magdeburg the atmosphere is under pressure
A vacuum pump kept like a treasure
Popular in physics lectures
The 2 hemispheres are in Munich for your pleasure
In Magdeburg where the councillors
Could not stop the invadors
The hemispheres were a miracle and helped it’s Mayor


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