Question

A square is inscribed in a circle of diameter d and another square is circumscribing the circle. Find the ratio of outer square to the area of the inner square

Answer 1

Here if the diameter of the circle is 'd' so 'd' is also the diagonal of the inscribed circle ... Here , 'd' is also the side of the circumscribed circle ..

Now by using the Pythagoras theorem in the inscribed square for getting a side of inscribed square..

All the other steps are in the picture ..