The ocean sunset

A semicircle is inscribed in a rectangle. What is the minimal covered fraction?

Scroll down for a solution to this problem.


The minimal yellow fraction is π/(3+2√2), which is approximately 53,9%.

Solution by John Michael.


Ocean sunset
There are ripples of light
And dark passing
By trying to paint the sky
It’s a beautiful ending
A promise for a new beginning
The ocean is in love
Coming and going
Refusing to stop
The beauty is overwhelming
Sunset brings peace
The work is done
Sorrows are gone


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