In the following figure, a rectangle ABCD is inscribed in a circle of radius r. Given ∠DAE = 30° and ∠ACD = 30°.
What is the ratio of the area of the circle to the area of the rectangle?
1
\(\frac{\pi}{\sqrt 2}\)
2
\(\frac{2\pi}{\sqrt 3}\)
3
\(\frac{\pi}{\sqrt 3}\)
4
\(\frac{3\pi}{\sqrt 2}\)