Final answer:
The next step to inscribe a regular hexagon in a circle is to connect the vertices of the hexagon to the center of the circle, ensuring each side is equal to the circle's radius.
Step-by-step explanation:
To inscribe a regular hexagon in a circle, one must recognize that each side of the hexagon is equal to the radius of the circle. The steps to drawing such a hexagon include drawing radii to the points where the vertices of the hexagon will be. The correct next step after drawing six radii equidistant from each other, from the center to the circumference of the circle, is: C) Connect the vertices of the hexagon to the center of the circle.
Once this is done, you have six points on the circle that will be the vertices of the hexagon. By connecting these points, a perfect hexagon inscribed within the circle can be formed. This method ensures that all sides are equal and that all angles are 120 degrees, which are the properties of a regular hexagon.