I'm working on a question from an old Mu Alpha Theta exam. I'm stuck and would appreciate any hints. (Please no answers! I'm sure I'm just missing something stupid. Also, this is for fun. Not HW.)
A square of area 8 is inscribed in a semi-circle with radius r. What is the area of a square inscribed in a circle with radius r?
My diagram has both squares in the same circle. I have the diagonal of the larger square as the diameter of the semi-circle containing the smaller square. Also, I am aware of the fact that if two figures are similar by the ratio k, that the ratio k^2 is the ratio of their areas.