Circles in a Square Date: 09/15/2001 at 14:00:48 From: Ash
Thotambilu Subject: Circles and squares A circle of radius 1 is
inside a square whose side has length 2. Show that the area of
the largest circle that can be inscribed between the circle and
the square is (pi(17 - 12sqrt(2))). Date: 09/15/2001 at 15:03:25
From: Doctor Jubal Subject: Re: Circles and squares Hi Ash,
Thanks for writing Dr. Math. The little circle is inscribed in
the corner of the square so that it touches the big circle and
both sides of the square. Its diameter lies along one of the
square's diagonals. Draw in that diagonal of the square, and
label the following points: A: the center of the big circle B:
where the diagonal intersects both the big and the little
circles. The two circles are tangent at this point C: the center
of the little circle D: where the diagonal intersects the little
circle, opposite B E: the corner of the square that the little
circle is inscribed in A,B,C,D,E should lie on the diagonal in
that order. The square h