Answer: 6280 cm
Step-by-step explanation:
Given: The diameter of hamster wheel = 20 cm
The circumference of hamster wheel is given by :-
[tex]C=\pi d[/tex], where d is the diameter of the hamster wheel.
[tex]\Rightarrow C=(3.14)(20)=62.8\text{ cm}[/tex]
During one race, the number of rotations of the wheel = 100
Therefore, the distance run by chubby is given by :-
[tex]D=100\times C\\\\\Rightarrow D=100\times62.8\\\\\Rightarrow D=6280\text{ cm}[/tex]
Answer:
6283 cm.
Step-by-step 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.
[tex]\text{Circumference of circle}=2\pi r=\pi D[/tex], where,
r = Radius of circle,
D = Diameter of circle.
Now we will find the circumference of wheel by substituting [tex]D=20[/tex] in above formula.
[tex]\text{Circumference of wheel}=\pi*20[/tex]
[tex]\text{Circumference of wheel}=62.83185307[/tex]
Since Chubby covers a distance of 62.83185307 cm in one rotation, so in 100 rotations distance covered by Chubby would be:
[tex]\text{Distance covered in 100 rotations}=100\times 62.83185307[/tex]
[tex]\text{Distance covered in 100 rotations}=6283.185307\approx 6283[/tex]
Therefore, Chubby ran a distance of 6283 centimeters.
