Math Problem Statement
Pack the circles with radius equal to 14cm using square and hexagon
Solution
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Math Problem Analysis
Mathematical Concepts
Circle Packing
Geometry
Hexagonal and Square Grids
Formulas
Number of circles along one side of a square: s / (2r) = s / 28
Number of circles in square grid arrangement: (s / 28)^2
Hexagonal packing density: π / √12 ≈ 0.9069
Square packing density: π / 4 ≈ 0.7854
Theorems
Circle Packing Theorem
Density of Hexagonal vs Square Packing
Suitable Grade Level
Grades 9-12
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