Question

What construction does the image below demonstrate?

(A) The circumcenter of a rectangular hexagon
(B) The incenter of a regular hexagon
(C) A regular hexagon circumscribed about a circle
(D) A regular hexagon inscribed in a circle

Answer 1

That is a regular hexagon inscribed in a circle.

Answer 2

Answer:(D) A regular hexagon inscribed in a circle

Explanation:

Since here the length of arcs FAD, EAC DAB, and CAG from the points E, point D, point C and Point B respectively have the same measurement. (Shown in given diagram)

Therefore, All chords of circle A that are FE, ED, DC, CB, BG, and GF have the same length.

Therefore here we get a figure which having 6 edges and inscribed in the circle A.

Which is a regular hexagon BCDEFG.

Therefore, Option D) is correct.