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

Answer:

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

Step-by-step 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), $\pi =3.14$

$A_1=\pi r^2$

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

$A_1=3.14\times9$

$A_1=28.26 inches^2$

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), $\pi =3.14$

$A_2=\pi r^2$

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

$A_2=3.14\times100$

$A_2=314 inches^2$

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.