# Square and Circles

lou giglio (lgiglio@dimacs.rutgers.edu)
Thu, 27 Feb 1997 16:43:57 -0500

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An interesting problem has been posed to one of my colleagues. We spent
some time working on a solution. Eventually, we went to the Geometer's
Sketchpad for an assit in developing a solution. I would be interested
in hearing about other solutions. Here it is:

Given a Square 10 units on a side, draw a circle at each vertex with a
radius equal to the side of the square. This produces an area inside
the square bounded by the four circles. Question: Determine the area
bounded by the four circles.

I have attached a Sketchpad file of the drawing. Determine area (EFGH).

Thanks Lou

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