Illustrate the pack the circles with diameter equal to 24 inches using square and hexagon.

The illustration shows the two types of circle packing as described: square packing on the left, and hexagonal packing on the right. The square packing has more gaps between the circles, while the hexagonal arrangement shows a denser configuration with circles fitting more closely together.

Would you like more details or have any questions about the packing arrangement?

Here are five related questions you might find interesting:
1. How do you calculate the packing density for square and hexagonal arrangements?
2. What is the difference in efficiency between square and hexagonal packing?
3. Can hexagonal packing be applied to 3D objects, such as spheres?
4. How does circle packing change with different boundary shapes?
5. What real-world applications use hexagonal packing for efficiency?

**Tip:** Hexagonal packing is about 91% efficient, while square packing only achieves about 78.5% efficiency!

Explore the concept of circle packing using circles with a diameter of 24 inches. This problem compares packing efficiency in square and hexagonal arrangements, highlighting key geometric principles such as packing density and tessellation. Suitable for high school students, Grades 10-12.

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