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what is the difference between constructing a square and constructing a regular hexagon?
the diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.
the radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.
the square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
the square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

  The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction

Step-by-step explanation:

The construction of the square uses a diameter for its diagonal, and requires construction of its perpendicular bisector (using arcs above and below the circle) for the other diagonal.

The construction of a hexagon uses 6 arcs along the circle separated by a distance equal to the radius of the circle.

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The answer to this question would be obvious to you if you would actually carry out the construction using a compass and straightedge on paper. There's nothing like a little hands-on to make the ideas in math and geometry become clear.

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step-by-step explanation:

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.