The area of the square and the circle is computed below based on the information.
How to calculate the area?
Radius = 3
Area of circle = πr² = π × 3² = 9π
Area of square = 4r² = 4 × 3² = 36
Length of square = ✓36 = 6
Ratio = 1/4π
Radius = 4
Area of circle = πr² = π × 4² = 16π
Area of square = 4r² = 4 × 4² = 64
Length of square = ✓64 = 8
Ratio = 1/4π
Radius = 2r
Area of circle = πr² = π × 2r² = 2πr²
Area of square = 4r² = 4 × 2r² = 8r²
Length of square = ✓8r² = 2✓2r
Ratio = 1/4π
The relationship between the area of the circle and the square is that the area of the square is 4 times that of the circle.
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