Question

Outline the process for inscribing a regular hexagon in a circle. Perform the construction in GeoGebra. Take a screenshot of the construction, save it, and insert the image in the answer space.

Answer 1

Inscribing a regular hexagon in a circle involves drawing a circle, using one point on it as a vertex, and marking subsequent vertices using the same compass width as the circle's radius, then connecting the vertices.

Step-by-step explanation:

To inscribe a regular hexagon in a circle using GeoGebra, follow these steps:

1. Draw a circle with a designated center point and radius.
2. Choose a point on the circumference of the circle as one vertex of the hexagon.
3. With the compass set to the same radius as the circle, place the compass at the first vertex and draw arcs across the circle's boundary to find the next vertices.
4. Repeat the process from each new vertex to find all six points of the hexagon.
5. Use a straightedge to connect the vertices in consecutive order to form the hexagon.

Note that in this construction each side of the hexagon is equal to the radius of the circle, which is a characteristic of a regular hexagon.

Unfortunately, I'm unable to use GeoGebra or provide a screenshot in this answer.