Question

A unicycle travels 50 feet. If the radius of the tire is 24 INCHES, how many times does the tire rotate?

Answer 1

Answer:  The answer is 4 times.

Step-by-step explanation:  Given that a unicycle travels 50 feet and its radius is 24 inches. We are to calculate the number of times tire rotated.

We have

12 inches = 1 foot.

So, 24 inches = 2 feet.

So, the circumference of the tire will be

$C=2\pi r=2\pi\times 2=4\pi~\textup{feet.}$

Since the tire travels 50 feet, so the number of times tire rotated will be given by

$n=\dfrac{50}{C}=\dfrac{50}{4\pi}=\dfrac{50\times 7}{4\times 22}=\dfrac{175}{44}=3.977\sim 4~\textup{(approx.)}.$

Thus, the tire rotated 4 times.