Question

-Shannon's scooter has a piece of tape stuck to the tire. If the tire has a diameter of 18 inches, how far does the piece of tape travel in 72° of rotation?

2π

9π

2 pi over 5

18 pi over 5

Answer 1

well the circumference of a circle in terms of diameter is

\[C = \pi \times d\]

the tape will travel the circumference of the tire... so find the circumference

Answer 2

@campbell_st

Answer 3

confused O.o

Answer 4

ok so the circumference of the tire is

\[C = 18\pi\]

what fraction of a circle is 72 degrees

\[\frac{72}{360}\]

so the distance traveled is the circumference x the fraction...

\[\frac{72}{360} \times 18\pi\]

you'll need to simplify the answer

Answer 5

the answer is 18π over 5