Question

A wheel on Ivan's bicycle is 1.1 m in diameter. Ivan races the bicycle for 165 m. How many times does the wheel turn as the bicycle travels this distance?Use the value 3.14 forn. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

The radius(r) of the wheel is;

$r=\frac{diameter}{2}=\frac{1.1}{2}=0.55m$

The perimeter(P) of the wheel is given by the formula below:

$P=2\pi r=2\times3.14\times0.55=3.454m$

The distance travelled by Ivan is 165m.

So, the number(n) of times the wheel is:

$n=\frac{165}{3.454}=\text{ 47.77}\approx\text{ 47.8}$

Hence, the correct answer is 47.8