the diameter of a bicycle wheel is 0.7 meters. find the number of complete revolutions made by the wheel if the bicycle travels 440 meters. use 22/7 as an approximation for [tex]\pi[/tex]

Respuesta :

Answer:

[tex]200\ rev[/tex]

Step-by-step explanation:

we know that

[tex]1\ rev=2\pi r[/tex] ----> circumference of a circle

step 1

Find the circumference of a circle

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=0.7/2=0.35\ m[/tex] ----> the radius is half the diameter

[tex]\pi=22/7[/tex]

substitute

[tex]C=2(22/7)(0.35)=2.2\ m[/tex]

step 2

Find the number of complete revolutions made by the wheel if the bicycle travels 440 meters

Divide the total distance by the circumference

[tex]\frac{440}{2.2}=200\ rev[/tex]