When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?

Mathematics · Middle School · Mon Jan 18 2021

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Answer: After you have constructed six arcs that intersect the circumference of the circle, the next steps to construct an inscribed regular hexagon are as follows:

1. Connect the Points: Use a ruler to draw straight lines connecting the points where each pair of adjacent arcs intersect the circumference of the circle. Make sure the lines are straight and meet at the points of the arcs' intersection. 2. Check the Sides: Ensure that all the sides of the hexagon are of equal length. In a regular hexagon, all sides must have the same length.

3. Finalize the Shape: Once all six sides are connected and you have confirmed they are equal, you have completed the construction of an inscribed regular hexagon.

Remember, since it is a regular hexagon, all the interior angles are also equal (each being 120 degrees).