Each week Manhattan GMAT posts a GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?
A circle is inscribed within a regular hexagon in such a way that the circle touches all sides of the hexagon at exactly one point per side. Another circle is drawn to connect all the vertices of the hexagon. What is the ratio of the area of the smaller circle to the area of the larger circle?
(A) √(2/3)
(B) (√2)/3
(C) (√3)/2
(D) (√3)/4
(E) 3/4