Marc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. A device on his bike informs him that

Question

3 years ago

14

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 home and work.
A. 10,088 in.
B. 15,846 in.
C. 31,692 in.
D. 63,385 in.

Mathematics

1 answer:

poizon [28] · Answer 1 · 2022-02-04T03:27:37+03:00

Answer:

31.702 inches (C)

Step-by-step explanation:

Here we need to calculate the circumference of the bike tire.

The formula for Circumference is C = πd, where d is the diameter.

Here, C = π(26 in), or 26π in. Every time the wheel rotates, the bike covers 26π in. If one tire completed 388 full rotations, then the distance Marc traveled was (26π inches/rotation)(388 rotations), or, to the nearest inch,

31,692 inches. This corresponds to (C) of the given possible answer choices.