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Dethrone
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Two circles lie in a plane. The circle of radius 1 meter overlaps the circle of smaller radius $r$ in such a way that their points of intersection are separated by distance $2r$. Show that the area inside the small circle and outside the large circle is largest when $r=(1+(2/\pi)^2)^{-1/2}$. Note: you don't need to know the anti-derivative of $\sqrt{1-x^2}$
Any hints as to where to start?![Confused :confused: :confused:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
Any hints as to where to start?