Question

marc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. a device on his bike informs him that one tire completed 388 full rotations between the time he left his house and the time he arrived at work. rounded to the nearest inch, how far did marc bike between his house and work?
10,088 in.
15,846 in.
31,692 in.
63,385 in.

Explanation:

Step1: Find the circumference of the tire

The formula for the circumference of a circle is $C = \pi d$, where $d$ is the diameter. Given $d = 26$ inches, so $C=\pi\times26\approx3.1416\times26 = 81.6816$ inches.

Step2: Calculate the total distance

The tire completed 388 full rotations, so the total distance is the circumference times the number of rotations. That is $81.6816\times388\approx31692$ inches.

Answer:

31,692 in.