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
Packing Density
Formulas
Area of square: side^2
Area of circle: π × (diameter/2)^2
Area of hexagon: (3√3/2) × side^2
Packing density: Area of circle / Area of packing unit
Theorems
Hexagonal Packing Theorem (Kepler Conjecture)
Suitable Grade Level
Grades 10-12
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