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zhenek [66]
3 years ago
14

A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 14 inches, and the bicycle wheel makes 3 full

rotations before stopping. How long is the trace of water left on the floor? Give your answer in terms of pi.
Mathematics
2 answers:
LuckyWell [14K]3 years ago
6 0
Now, the bicycle made 3 rotations, namely 3 revolutions, before stopping, one revolution is a full circle, namely 2π radians angle, so 3 times that is 3 * 2π, or 6π.

\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
r=14\\
\theta =6\pi 
\end{cases}\implies s=14\cdot 6\pi
kow [346]3 years ago
6 0
I assume the question is "how long is the track of water left by the tire?"  The circumference of the tire is the distance around the tire and is equal to:   C = 2·pi·radius <span> C = circumference pi=3.14159 r = radius = 14 inches </span>   The track of water left on the floor by one full rotation of the tire equals one circumference in length.  If the tire rotates 3 full times, the track of water is 3 circumferences long.  Use your calculator to get the answer.
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