Problem 2308. rectangle in circle

Created by Zikobrelli

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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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Last Solution submitted on Nov 27, 2025

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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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