Crazy frog

A regular pentagon, two semicircles and two chords. What’s the length proportion a : b?

Scroll down for a solution to this problem.


Solution by Jaihind Singh.
Supporting lemma by Jaihind Singh.


The crazy frog
Croaking and singing
Early in the morning
Sitting in the frog pond so green
Gargling water to keep it clean
Tadpoles are born, so nice and sweet
Hidden in the shelter to save their lifes
A promise of new frogs
Frogs legs can be fried
Terrible way to die !


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