To construct the regular hexagon, the radius length AB is used to mark the vertices of the hexagon. Can this method be used to make any regular inscribed polygon, such as a square?

Question

Mathematics

Kody

22 April, 18:05

To construct the regular hexagon, the radius length AB is used to mark the vertices of the hexagon. Can this method be used to make any regular inscribed polygon, such as a square?

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First Mate · Answer 1

The correct answer is:

No, it will not work for all regular inscribed polygons.

Explanation:

If we were to inscribe a regular hexagon inside a circle using this method and then try to inscribe a square using the same method, we would see that the arcs made using the radius would not give us 4 congruent sides. This would not work.