Option C - 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.
Step-by-step explanation:
Let's look at all the options;
Option A: This is wrong because for both square and hexagon construction in a circle, the diameter of the circle is used in both cases.
Option B: This is also wrong for the same reason given in option A
Option C: This is correct because when constructing a square in a circle, we will need 2 arcs for the perpendicular bisector whereas for hexagon, we will need 2 arcs above and 2 arcs below the diameter to get the other 4 points since the horizontal line across the centre of the circle already carries 2 points.
Option D - This is not corrrect because of the reason given in option C