Math Problem Statement
Pack the circles with diameter equal to 24 inches using square and hexagon.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Circle Packing
Grid Arrangements
Area Efficiency
Formulas
Square packing efficiency: η = π/4 ≈ 0.7854
Hexagonal packing efficiency: η = π/(2√3) ≈ 0.9069
Theorems
Circle Packing Theorem
Hexagonal Lattice Arrangement
Suitable Grade Level
Grades 9-12
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