Solution:Let the diagram of the given situation be,
From the above figure, EO is the diameter of the circumscribed circle.
In triangle EMF, we have
O is the center of the hexagon. Then,
Then, the radius of the circumscribed circle is,
From the figure, we can say that PO is the radius of the inscribed circle. Since , then
The ratio of the radius of the circumcircle and incircle is given by .
Hence, the correct option is 1.