## ________________

A problem in spatial visualization and another related to tennis have come to the coach’s attention.

## ________________

### Rolling Circles

Two circular disks have radii of 12 and 14. The larger disk is held fixed while the smaller disk is allowed to roll around the outside of the larger disk without slipping. In their starting positions, point P on the smaller disk coincides with point Q on the larger disk.

How many rotations of the smaller disk must occur before points P and Q coincide again?

### Minimum Racket Wear

Having won the first set of a singles match at the Australian Open, Rafael Nadal is just starting the second set.

What is the least number of times his racket could have hit the ball during the first set? You will need to know that if a player, in two attempts to serve on a point, swings and misses both times, that player loses the point. No tricks are involved here.

## Solutions to week 121

In Tennis Exhibition, Rafa and Roger played in set number 13. The answer to Losing Streak is 52 points.