Question

A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller, in square inches, is the areaof the training wheel than the area of the regular wheel?Use 3.14 for 흅

Answer 1

`285.74\text{ inch}^2`

Explanation:

GIVEN: A bicycle training wheel has a radius of
`3\text{ inch}`. The bicycle wheel has a radius of
`10\text{ inch}`.

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
`=10\text{ inch}`

area of bicycle wheel
`=\pi r^2`

putting value,

area of bicycle wheel
`=3.14*10^2`

`=314\text{ inch}^2`

radius of bicycle training wheel
`=3\text{ inch}`

area of bicycle training wheel
`=\pi r^2`

putting value,

area of bicycle wheel
`=3.14*3^2`

`=28.26\text{ inch}^2`

difference in area of bicycle wheel and bicycle training wheel

`=\text{area of bicycle wheel}-\text{area of bicycle training wheel}`

`=314-28.26`

`=285.74\text{ inch}^2`

hence the training wheel is
`285.74\text{ inch}^2` smaller than regular wheel