Answer:
[tex]285.74\text{ inch}^2[/tex]
Step-by-step explanation:
GIVEN: A bicycle training wheel has a radius of [tex]3\text{ inch}[/tex]. The bicycle wheel has a radius of [tex]10\text{ inch}[/tex].
TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.
SOLUTION:
radius of bicycle wheel [tex]=10\text{ inch}[/tex]
area of bicycle wheel [tex]=\pi r^2[/tex]
putting value,
area of bicycle wheel [tex]=3.14\times10^2[/tex]
[tex]=314\text{ inch}^2[/tex]
radius of bicycle training wheel [tex]=3\text{ inch}[/tex]
area of bicycle training wheel [tex]=\pi r^2[/tex]
putting value,
area of bicycle wheel [tex]=3.14\times3^2[/tex]
[tex]=28.26\text{ inch}^2[/tex]
difference in area of bicycle wheel and bicycle training wheel
[tex]=\text{area of bicycle wheel}-\text{area of bicycle training wheel}[/tex]
[tex]=314-28.26[/tex]
[tex]=285.74\text{ inch}^2[/tex]
hence the training wheel is [tex]285.74\text{ inch}^2[/tex] smaller than regular wheel
