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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

What construction does the image below demonstrate? (A) The circumcenter of a rectangular-example-1
User Dushyant
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2 Answers

2 votes

That is a regular hexagon inscribed in a circle.

User Avseiytsev Dmitriy
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6 votes

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.



User Rollin
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