We had this in a quiz, my answer was
but my friends say the answer is 2 = 1 because they squared both sides. but I don't get why the need to square it. so here's the problem.
A square is inscribed in a circle, and another circle is inscribed in the square. What is the ratio of the area of the larger circle to the small circle?
What I did was
Let A1 = large circle
Let A2 = small circle
Radius of large circle:
Radius of small circle:
I then cancel out pi and square leaving the radii.