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16x16 inch tiles are square. If you place them on a circle, the edges will hang off, so we first need to find the size of the largest square that will fit in the circle. The largest square can be made of four isosceles triangles whose equal sides are equal to the length of the radius, so the area of the contained square is 2r2.

An 11-foot diameter circle has a radius of 5.5 feet, so the square has an area of 2(5.5)2 = 60.5 square feet, or 60.5 * 122 square inches = 8712 square inches. The 16x16 tiles are 256 square inches, so 8712 / 256 = 34.03125 tiles that fit completely in the circle.

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13y ago

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