The minute hand on MS. Scott’s clock is 22 inches long, from the center of the clock to its edge. Approximately how far does the minute hand travel around the clock in one hour?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.