The tire has a radius of 8 inches, and the scooter wheel makes 14 full rotations before stopping. How long, to the nearest inch, is the trace of water that was left on the sidewalk?

Answer 1

The circumference of a circle is given by S=2πr, where r is the radius of the circle. One rotation of the wheel is equivalent to the circumference, S, so 14 rotations will equal 14S. We need to solve this:

S=2πr

14S=14 X 2πr

14S=14 X 2π(8)

14S=14 X 16π

14S=224π

14S=703.72 inches

Answer: about 704 inches.