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 and rounded to the nearest hundredth, is the area of the training wheel than the area of the regular wheel? *

Answer 1

Area of training wheel is 285.74 square inches smaller than bicycle wheel.

Explanation:

Given : A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches.

To find : How much is the the area of the training wheel than the area of the regular wheel?

Solution :

→A bicycle training wheel has a radius of 3 inches.

Area of of the training wheel is
`A=\pi r^2`

where r is the radius and r=3 inches (given),
`\pi =3.14`

`A_1=\pi r^2`

`A_1=(3.14) (3)^2`

`A_1=3.14*9`

`A_1=28.26 inches^2`

Area of the bicycle training is 28.26 square inches.

→ The bicycle wheel has a radius of 10 inches.

Area of of the bicycle wheel is
`A=\pi r^2`

where r is the radius and r=10 inches (given),
`\pi =3.14`

`A_2=\pi r^2`

`A_2=(3.14) (10)^2`

`A_2=3.14*100`

`A_2=314 inches^2`

Area of the bicycle wheel is 314 square inches.

The area of the training wheel than the area of the regular wheel is

`Area=314-28.26=285.74`

Rounded to nearest hundredth the area is 285.74 square inches.

Therefore, Area of training wheel is 285.74 square inches smaller than bicycle wheel.