Question

Express the required measurement in exact form.

A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground?

Answer 1

First you want to find the circumference of the wheel:
\[C = 2 \pi r, r = 26\]
Then, you only want a portion of the circumference, only 80 degrees of it, so multiply your answer by:
\[\frac{80}{360}\]

Answer 2

5.77

Answer 3

hmm...should probably be a little bigger than that. In your calculator you want to do:
\[2*\pi*26\]
Then, whatever that answer is, you want to multiply it by 80, then divide by 360.