Circles on the chessboard

Geometry Level 3

In a standard chess board, with the side of each square being 1 unit.

What is the diameter of the largest circle that can be drawn on the board while drawing only on the black squares.

5 \sqrt{5} units 8 units 5.17 \sqrt{5.17} units 5.66 units 10 \sqrt{10} units 4 units

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