 illustrate a regular decagon of side length 6 cm with 144° interior angles

Here is the illustration of a regular decagon with a side length of 6 cm and interior angles of 144°.

### Key Characteristics:
- **Side Length:** 6 cm
- **Interior Angle:** 144°
- **Number of Sides:** 10
- **Vertices:** Labeled as \( A, B, C, \ldots, J \)

### Explanation:
- The decagon is inscribed in a circle with a radius calculated to fit the side length of 6 cm.
- The vertices are equally spaced around the circle, each at a 36° central angle from the center of the circle.

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Here are 8 related questions that expand on this information:

1. How do you calculate the radius of the circumscribed circle for any regular polygon?
2. What is the formula for finding the area of a regular decagon?
3. How do you calculate the exterior angles of a regular decagon?
4. How does the side length of a regular polygon affect the radius of its circumscribed circle?
5. What are the properties of the diagonals in a regular decagon?
6. Can you draw a regular decagon without a compass and protractor? If so, how?
7. How do the properties of a regular decagon compare to those of other regular polygons (e.g., pentagon, hexagon)?
8. What are the applications of regular decagons in real life or various fields of study?

**Tip:** When constructing polygons, using precise tools like a compass and protractor helps in achieving accurate shapes and angles.

Explore how to illustrate a regular decagon with a side length of 6 cm and interior angles of 144°. Learn about the properties of regular polygons, including the formula for the radius of the circumscribed circle. Suitable for high school students studying geometry and circle geometry.

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