Intelligent Doodles

A friend of yours draws a circle circumscribing a regular octagon. What is the ratio of the area of the octagon to the circle?

A. π.

B. √2/2.

C. (π√2)/4.

D. √2/(2π).

E. (2√2)/π.

To see the solution and images, visit the following link:
http://datquestionoftheday.com/math/intelligent-doodles/