A bicycle training wheel has a radius of 3 inches. A regular 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 bicycle wheel?

1 answer

The area of a circle is given by the formula A = πr^2, where r is the radius of the circle.

For the training wheel:
A_training = π(3)^2
A_training = 9π

For the regular bicycle wheel:
A_regular = π(10)^2
A_regular = 100π

The difference in area is:
A_difference = A_regular - A_training
A_difference = 100π - 9π
A_difference = 91π

To find the difference in square inches, we can approximate π as 3.14:
A_difference ≈ 91 * 3.14
A_difference ≈ 285.74

Therefore, the area of the training wheel is approximately 285.74 square inches smaller than the area of the regular bicycle wheel.