Question

The radius of a bicycle wheel is 80cm. During one trip this wheel rotted 25121 times. To the nearest metre, how far did the bicycle travel on this trip? Express your answer in kilometres.

Answer 1

Answer: someone plz help

Step-by-step explanation:

Answer 2

During the trip,

• The bicycle travelled $126208m\text{ (to the nearest metre)}$

• The answer in kilometres is $126.2km$

To solve this problem, note that when the wheel rotates, the bicycle moves forward. The distance moved by the bicycle will be the number of times the bicycle makes a complete rotation multiplied by the length of the wheel's circumference.

Calculating the circumference of the wheel

The circumference of the wheel can be calculated by the formula

$C=2\pi r$

where $r$ is the radius of the wheel.

Substituting $r=80cm$ into the formula, we get

$C=2\pi r\\=2\times 3.14\times 80\\=502.4cm$

Calculating the total distance travelled

Now that we have gotten the circumference of the wheel, we can now calculate the distance travelled by the wheel. We do this by multiplying the circumference by the number of rotations of the wheel.

That is

$\text{distance}=C\times \text{number of rotations}\\=502.4\times 25121\\=12620790.4cm$

Converting to the nearest metre

$12620790.4cm=12620790.4\times 1cm\\\\=12620790.4\times \dfrac{1}{100}m\\\\\approx 126208m$

Converting to kilometres

$12620790.4cm=12620790.4\times 1cm\\\\=12620790.4\times \dfrac{1}{100000}km\\\\\approx 126.2km$

Learn more about circumference of a circle here https://brainly.com/question/5688156