A fleet of ships is on a straight course at a speed of one knot. It is guarded by a cruiser that travels at two knots.
E. The ships are in the formation of a perfect circle of radius 1 nautical mile. How long does the cruiser take to completely traverse the edge of this circle?
Try to give an exact answer.
Apropos of nothing, I note that the fleet has grown significantly. With a radius of 1 mile, it is 3.14 times the size of our square fleet, and 7.26 times the size of our triangular fleet.
If I were the admiral, I would commit a 2nd cruiser to protecting the fleet. Or have a single, faster cruiser. (It would not need to be twice as fast in order to do the job in half the time.)