Clue to Puzzle #31: Circle drawn only on the black squares of a chessboard

31. Consider a standard chess board. What is the diameter of the largest circle that can be drawn on the board whilst only drawing on the black squares.

I've struggled to think of a hint for this puzzle. My first offer is a picture of a chess board to look at.

a picture of a chessboard

If that's not working for you then my next offer is to show you the answer. I've reconciled this because the question asks you for the radius and I am offering to just show you a picture. It's the red circle in THIS image.

Where next?
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