Saturday, April 4, 2015

421: Inscribed Semicircle, part two

This problem was posed on Twitter the other day.
A semicircle is inscribed in a rectangle. If the area of the semicircle is π, what's the area of the rectangle? [4]
My question yesterday was ... how could you draw the inscribed semicircle in a way that gives a rectangle of a very different (and larger) area?

My question today is, given the arrangement below, what points did I choose that had integer coordinates? I chose a larger semicircle - for convenience - how big was it?

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