Answer:
Total distance covered by bicycle's wheel in [tex]40[/tex] revolutions is [tex]40\times 75.36=3014.4[/tex] ≈[tex]3014 inches[/tex]
Step-by-step explanation:
Diagram of given scenario shown below.
Given That:
Diameter of bicycle Wheel is [tex]24 inches[/tex].
So, Radius of wheel [tex](r)=\frac{Diameter}{2} = \frac{24}{2} = 12\ inches[/tex]
Wheel has a circular shape.
In order to find the Distance covered in [tex]40[/tex] revolutions we have to find the circumference of the wheel.
Circumference of circle [tex]=2\pi r[/tex]
Thus, Circumference of wheel [tex]=2\pi \times12= 24\times \ 3.14[/tex] { ∵ [tex]\pi =\frac{22}{7}[/tex]≈[tex]3.14[/tex]}
[tex]=75.36\ inches[/tex]
Therefore,
Total distance covered by bicycle's wheel in [tex]40[/tex] revolutions is [tex]40\times 75.36=3014.4[/tex] ≈[tex]3014 inches[/tex]
