Question

A bicycle tire has a diameter of twenty-six inches. If a pebble is stuck in the tire's treads, about how far will the pebble travel with each rotation of the tire?

forty point eight two inches

eighty-one point six four inches

five hundred thirty point six six inches

two thousand one hundred twenty-two point six four inches

Can someone explain to me how to do this?

Answer 1

circumference of a circle is given by:
\[ c = 2\pi r\]
where r is radium

\[ r = \frac{diameter}{2} = \frac{26}{2} = 13\]

therefor, with each rotation, pebble travels

\[ c = 2\pi r = 2 \pi (13) = 26\pi \space m\]

Answer 2

radius*

Answer 3

Thanks dude.

Answer 4

so what is the answer