Week 6 CAPT Problem - 10th Grade


The Bicycle Wheels


To solve the problems in Bicycle Wheels, you need to know that the circumference (C) of a circle can be calculated using the formulas C = 2 Π or C = Π d, where r is the length of the radius, d is the length of the diameter and Π is approximately 3.14. You will also need to know that one mile = 5,280 feet.

  1. The rim of the bicycle wheel shown below has a radius of 13 inches. What is the circumference of the rim of the wheel to the nearest 10th of an inch?
  2. The rim of the bicycle wheel below has a diameter of 24 inches. When the tire is mounted on the wheel, the diameter of the wheel increases as shown.
  3. To the nearest 10th of an inch, how much does the circumference of the bicycle wheel increase after the tire is mounted?

  4. The distance that a wheel rolls in one revolution is equal to its circumference. Dylan knows that the wheels on his younger brother's bike have a circumference of 4.7 feet. How many feet will this bicycle travel when a wheel makes 400 revolutions?
  5. The bicycle wheel shown below has a diamter of 2 feet. To the nearest whole number, how many revoltions will the wheel make when it rolls one mile?
  6. A racer's bicycle wheel has a diameter of 2 feet 4 inches and makes 360 revolutions per minute. To the nearest 10th of a mile, how far will the bicycle travel in 5 minutes?