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Item 101

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 pi, what's the area of the rectangle?

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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Geometry Snacks
David Marain
GEOM

Source: David Marain
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