The tires on your bicycle have a diameter of 22 inches. How many rotations does each tire make when you travel 800 feet? Round your answer to the nearest whole number.

Guest Feb 16, 2017

#1**+10 **

**The tires on your bicycle have a diameter of 22 inches. How many rotations does each tire make when you travel 800 feet? Round your answer to the nearest whole number.**

Let p = perimeter circle

Let d = diameter circle

Let n = number of rotations

**perimeter circle:**

\(\begin{array}{|rcll|} \hline p &=& d\cdot \pi \quad &| \quad d = 22\ in. \\ p &=& 22\cdot \pi \ in. \\ \hline \end{array}\)

**rotations:**

\(\begin{array}{|rcll|} \hline n &=& \dfrac{ 800\ feet \cdot \frac{12\ in.}{1\ feet}} {p} \quad &| \quad 1 feet = 12\ inches \\ n &=& \dfrac{800\cdot 12}{22\cdot \pi} \\ n &=& 138.898859426 \text{ rotations } \\ \hline \end{array}\)

**Round your answer to the nearest whole number: 139 rotations**

heureka
Feb 16, 2017

#1**+10 **

Best Answer

**The tires on your bicycle have a diameter of 22 inches. How many rotations does each tire make when you travel 800 feet? Round your answer to the nearest whole number.**

Let p = perimeter circle

Let d = diameter circle

Let n = number of rotations

**perimeter circle:**

\(\begin{array}{|rcll|} \hline p &=& d\cdot \pi \quad &| \quad d = 22\ in. \\ p &=& 22\cdot \pi \ in. \\ \hline \end{array}\)

**rotations:**

\(\begin{array}{|rcll|} \hline n &=& \dfrac{ 800\ feet \cdot \frac{12\ in.}{1\ feet}} {p} \quad &| \quad 1 feet = 12\ inches \\ n &=& \dfrac{800\cdot 12}{22\cdot \pi} \\ n &=& 138.898859426 \text{ rotations } \\ \hline \end{array}\)

**Round your answer to the nearest whole number: 139 rotations**

heureka
Feb 16, 2017