230[tex] \pi [/tex]/6
This is because each circumference is equal to 2[tex] \pi [/tex]r. So the distance the minute hand would travel would be 40[tex] \pi [/tex]. Then the minute hand would have a circumference of 20[tex] \pi [/tex]. However, you would have to divide that by 12 since it only traveled 1/12th of the distance around.
When you subtract the hour hand's distance from minute hand's distance, you get the answer above.
