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
Area Efficiency
Formulas
Area of a circle: A_circle = π × (diameter / 2)^2
Area of a square: A_square = side^2
Area of a hexagon: A_hexagon = (3√3 / 2) × (diameter / 2)^2
Packing Efficiency = (Area of Circle / Area of Shape) × 100
Theorems
Circle Packing Efficiency
Suitable Grade Level
Grades 10-12
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