Problem 2308. rectangle in circle
In the figure below, the rectangle at the corner measures a cm x b cm. What is the radius of the circle in cm?

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Guillaume
on 9 May 2014
It would be good to add a test where the solution is not 5*a, which always happens when b = 2*a.
Jan Orwat
on 9 May 2014
e.g. a=2, b=9, r=17; a=1, b=8, r=13; a=18, b=25, r=73; etc.
Georges
on 11 Sep 2014
good one :)
Rafael S.T. Vieira
on 27 Jun 2020
The circle is inscribed in a square. And the rectangle touching the square corner intersects the circle at one vertex precisely. (This needs to be said: we can't trust our eyes.)
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