A square is inscribed in a circle, with each corner of the square touching the circle. A larger square is circumscribed outside the circle, with each side of the larger square touching a corner of the inscribed square. The sides of the larger square are longer than the sides of the smaller square by a factor of ....?
The ratio of the lengths of two squares (one inside a circle and one outside a circle) are found. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question. A diagram is included.