A collection of puzzles, games, brain teasers, and nifty tricks to amaze and entertain you.
Monday, February 4, 2008
Circling a Chess Board
On a standard chess board with individual squares that measure two inches on each side, what is the largest circle that can be drawn so that the circumference lies only on black squares?
Because of available chess board, so that the circumference lies only on black squares, we can draw the largest circle which runs over 8 black squares, and covers 4 white and 1 black ones inside. http://i107.photobucket.com/albums/m285/sagisttarius/puzzle/chessboard-circum.jpg
The circumference lies only on black squares, i.e. it runs over adjoin-points among black and white squares. http://i107.photobucket.com/albums/m285/sagisttarius/puzzle/chessboard-sol.jpg Hence, its diameter should be: 2 * { square-root [square(3)+square(1)] } = 2*square-root(10) ~ 6.32455532 (inches)
How To Make money with affiliate programs Today. Affiliate marketing is the easier and probably the most effective method to make money from the internet. It is basically, a kind of selling technique where potential buyers from your website are directed to the websites of sellers. For every click, the website owner gets a small commission.
2 inches diameter
ReplyDeleteIt's possible to fit a circle larger than 2" on the board with the circumference completely on back squares.
ReplyDeleteTry again.
4 in. diameter
ReplyDelete2√2 inches diameter
ReplyDeleteIt's just over 6 inches in diameter. I can visualise it but I can't do the maths. Possibly 6.31416.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteBecause of available chess board, so that the circumference lies only on black squares,
ReplyDeletewe can draw the largest circle which runs over 8 black squares, and covers 4 white and 1 black ones inside.
http://i107.photobucket.com/albums/m285/sagisttarius/puzzle/chessboard-circum.jpg
The circumference lies only on black squares, i.e. it runs over adjoin-points among black and white squares.
http://i107.photobucket.com/albums/m285/sagisttarius/puzzle/chessboard-sol.jpg
Hence, its diameter should be:
2 * { square-root [square(3)+square(1)] } = 2*square-root(10) ~ 6.32455532 (inches)
how do you place 8 dots on the checker board so they don't line up horizantaly, vertical, or diagonal?
ReplyDeleteHow To Make money with affiliate programs Today. Affiliate marketing is the easier and probably the most effective method to make money from the internet. It is basically, a kind of selling technique where potential buyers from your website are directed to the websites of sellers. For every click, the website owner gets a small commission.
ReplyDeletelatest trends