The sleeping bag

A semicircle containing a circle. One line segment is tangent to the circle and connects to the semicircle centre. The chord connects two tangency points. What fraction is blue?

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The blue fraction is 2/9.

Solution by ohmohm.


I’m sleeping in my bag
Not even my face to see
Not even a trace from me.
Going out for a camp
With my bag and my tent
Sometimes feel safe
Or a bit scared
For me the bag means holidays
But not for everybody
An earthquake victim
Or for a tramp in the street
The bag is a sheet!


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