Stella is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing?

A circle is drawn with five arc markings that lie on the circle, with an additional point also marked on the circle.

 A regular octagon
 A square
 A regular pentagon
 A regular hexagon

Stella is constructing a **regular hexagon**.

### Here's the reasoning:
- The problem mentions that there are **five arc markings** on the circle, which divides the circle into six equal parts.
- Adding the **additional point** would complete the sixth arc, implying that the circle is divided into six equal arcs.
- A regular hexagon can be inscribed in a circle by dividing the circumference into six equal parts, corresponding to the six vertices of the hexagon.

Thus, the correct answer is: **A regular hexagon**.

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Would you like more details or have any questions about the construction process?

### Related questions:
1. How do you construct a regular hexagon using a compass and straightedge?
2. What is the relationship between the number of sides of a polygon and its inscribed circle?
3. How can you use a compass to find the center of a circle?
4. How do the side lengths of a regular polygon inscribed in a circle relate to the circle's radius?
5. How can you construct a regular pentagon using a compass and straightedge?

**Tip:** In a regular polygon, the central angle (angle at the circle's center) can be found by dividing 360° by the number of sides.

Stella is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing? A circle is drawn with five arc markings that lie on the circle, with an additional point also marked on the circle.

Explore how to construct a regular hexagon inscribed in a circle using a compass and straightedge. This geometry problem explains how five arc markings divide the circle into six equal parts, suitable for students in Grades 6-8. Learn the key formulas and theorems behind polygon construction.

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