what is the largest square that can be machined from 1 1/2 in shaft?

Question

m ath

Answer 1

The square would have the diameter of the circle as its diagonal. The diameter is 1.5 in, and that's the hypotenuse of a right triangle with equal legs. So each leg has a length of 1.5 / sqrt(2) = 1.06 in. The area of the square is 1.06^2 = 1.125 in^2.