Quandaries
and Queries 

Who is asking: Other Level: Elementary Question: 

Hi Bob, The argument requires the Pythagorean Theorem. Draw a circle with a square, as large as possible, inside the circle.
By the symmetry of the diagram the center of the circle D is on the diagonal AB of the square. Hence AB is a diagonal of the circle and thus its length of is 60 inches and the lengths of BC and CA are equal. The Pythagorean Theorem then says that
Hence
and therefore
Taking the square root on my calculator I get
Penny


