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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It would be good to add a test where the solution is not 5*a, which always happens when b = 2*a.
e.g. a=2, b=9, r=17; a=1, b=8, r=13; a=18, b=25, r=73; etc.
good one :)
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.)