Question

Ann races her bicycle for 200 ft. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?
Use the value 3.14. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

Answer:

1.6 ft

Step-by-step explanation:

Each time the wheel does a complete turn, the bike moves forward a distance equal to the wheel's circumference.  Since the bike moves 200 ft after 40 rotations, the length of the wheel's circumference is:

C = 200 ft / 40

C = 5 ft

Circumference is π times the diameter.  So the diameter of the wheel is:

C = πd

5 ft = πd

d = 1.6 ft