Quandaries and Queries
 

 

I would like to know how to divide a circle into eleven parts using only four lines. This question was asked to a middle school student.I can't wait for your answer.Thank you Dean
 

 

Dean,

On a clock, if you put lines from 1 to 6, 2 to 10 and 4 to 11, you will divide the clock into 7 figures including a central triangle and 6 boundary figures. If you were to now add a line from 12 to 6, you would split 3 of these figures in two, getting a total of 10, just one off the mark. What happens if you draw the last line from 12 to a point just a bit to the right of 6?

Claude