Question

David races his bicycle for 280 ft. A wheel of his bicycle turns 35 times as the bicycle travels the distance. What is the diameter of the wheel? Use the value 3.14 for pie. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

Given that:

David races his bicycle for 280 ft

And the wheel of his bicycle turns 35 times.

One turn equals the circumference of the wheel.

So, 35 turns will equal to 35 times the circumference of the wheel;

`35C=280`

Recall that the formula for calculating the circumference of a circle is;

`C=\pi d`

Where d is the diameter.

Substituting the above formula and solving for diameter d, we have;

`\begin{gathered} 35C=280 \\ 35(\pi d)=280 \\ d=(280)/(35\pi) \\ d=2.54777 \\ d=2.5ft \end{gathered}`

Therefore, the diameter of the wheel is 2