Complicated
Make six tangents of ellipse C, and the tangents of adjacent tangent points intersect at A, B, C,D,E and F respectively, then find the minimum value of ABCDEF area of Hexagon Note:1，It is known that the major axis of an ellipse is 8 and the minor axis is 6. 2，Exact your result to two decimal places.
The answer is 46.77.
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1 solution
Using affine transformation to ellipse, the problem of ellipse can be transformed into the problem of circle, and then the result can be obtained by using the minimum area of regular polygon in the circumscribed polygon of circle.