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
Tessellation
Packing Efficiency
Formulas
Area of a circle: A = π * (d/2)^2
Packing efficiency (square): Efficiency = (Area of circle / Area of square)
Packing efficiency (hexagonal): Efficiency = π / (2 * √3)
Theorems
Circle area formula
Square and hexagonal packing theorems
Suitable Grade Level
Grades 9-12
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