Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-A bicycle with a 26-inch wheel (diameter) travels a distance of 300 feet. How many revolutions does the wheel make (to the nearest revolution)?
A) 88 revolutions
B) 44 revolutions
C) 82 revolutions
D) 38 revolutions

Question

Quizplus · Accepted Answer

The distance traveled by the bicycle is 300 feet. To find the number of revolutions, we need to convert the wheel diameter from inches to feet, then calculate the circumference of the wheel, and finally divide the total distance by the wheel's circumference. The wheel's diameter is 26 inches, which is $26 \text{ inches} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{13}{6} \text{ feet}$. The circumference of the wheel is $\pi \times \text{diameter} = \pi \times \frac{13}{6} \text{ feet}$. The number of revolutions is the total distance divided by the circumference of the wheel, which is $300 \text{ feet} \div \left(\pi \times \frac{13}{6} \text{ feet}\right) \approx 44$ revolutions.

Assume That the Cities Lie on the Same North-South Line