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? 31,692 in. 15,846 in. 63,385 in. 10,088 in.

Explanation:

Step1: Calculate tire circumference

The formula for the circumference of a circle is $C = \pi d$, where $d = 26$ inches. So $C=\pi\times26\approx 3.14\times26 = 81.64$ inches.

Step2: Calculate total distance

The tire completed 388 full - rotations. The total distance $D$ is the number of rotations times the circumference of the tire. So $D = 388\times C=388\times81.64$.
$D=388\times81.64 = 31696.32\approx31692$ inches.

Answer:

31,692 in.