# How do you find the largest possible area for a rectangle inscribed in a circle of radius 4?

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To find the largest possible area for a rectangle inscribed in a circle of radius 4, the rectangle's length should be twice the circle's radius, and its width should be equal to the circle's radius. Thus, the largest possible area ( A ) is given by:

[ A = \text{{length}} \times \text{{width}} = 2 \times 4 \times 4 = 32 , \text{{square units}}. ]

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