Question 18
A $5\times12$ cm rectangle is rotated without slipping through the positions shown. The distance travelled by point A is $\frac mn\pi$ cm, where $m,n$ are relatively prime positive integers. Find $m+n$.
Count the two clockwise quarter-turns shown, beginning with the 12 cm side on the ground. Stop at the third position; do not continue rolling.
Count the two clockwise quarter-turns shown, beginning with the 12 cm side on the ground. Stop at the third position; do not continue rolling.