Question

A circular table has a diameter of 48 inches. A carpenter is remaking it into a square table. To the nearest tenth of an inch, what is the greatest possible side length of the square table?

Answer 1

If the diameter of the circle is 48 the maximum diagonal of the square is 48.

The diagonal of the square is:

d=√x^2+x^2

d=√2x^2 so

48=x√2

x=48/√2 in

x≈33.9 in