Question

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100100100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 \text{ cm}20 cm20, space, c, m. How far did Chubby run? Round your answer to the nearest \text{cm}cmc, m.

Answer 1

6283 cm.

Explanation:

We have been given that Avi's pet hamster Chubby completed 100 rotations of the wheel. The diameter of the hamster wheel is 20 cm.

Since wheel is a circle, so the distance covered by Chubby in one rotation will be equal to the circumference of wheel.

`\text{Circumference of circle}=2\pi r=\pi D`, where,

r = Radius of circle,

D = Diameter of circle.

Now we will find the circumference of wheel by substituting
`D=20` in above formula.

`\text{Circumference of wheel}=\pi*20`

`\text{Circumference of wheel}=62.83185307`

Since Chubby covers a distance of 62.83185307 cm in one rotation, so in 100 rotations distance covered by Chubby would be:

`\text{Distance covered in 100 rotations}=100* 62.83185307`

`\text{Distance covered in 100 rotations}=6283.185307\approx 6283`

Therefore, Chubby ran a distance of 6283 centimeters.

Answer 2

Answer: 6280 cm

Explanation:

Given: The diameter of hamster wheel = 20 cm

The circumference of hamster wheel is given by :-

`C=\pi d`, where d is the diameter of the hamster wheel.

`\Rightarrow C=(3.14)(20)=62.8\text{ cm}`

During one race, the number of rotations of the wheel = 100

Therefore, the distance run by chubby is given by :-

`D=100* C\\\\\Rightarrow D=100*62.8\\\\\Rightarrow D=6280\text{ cm}`