A wheel on the road

You will write functions for the distance a wheel rolls and the number of turns it needs. Then you will find how much a clock hand sweeps.

The idea. In one turn a wheel rolls its circumference $\pi d$. In $n$ turns it rolls $n\pi d$. A hand that turns through a fraction of a circle sweeps that fraction of the area of the circle.

Your tasks.

1. In distance_m, return the distance in metres rolled by a wheel of diameter diameter_cm in turns turns, rounded to $4$ decimals.
2. In turns_needed, return the number of turns a wheel of diameter diameter_cm makes on a road of road_m metres, rounded to $2$ decimals.
3. In hand_area, return the area in square centimetres that a hand of length length_cm sweeps in minutes minutes, if it is a minute hand, rounded to $4$ decimals.
4. Set more_turns to the name of the wheel in wheels that makes more turns on the same road.