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?
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 = 9π ≈ 28.27 square inches
For the regular bicycle wheel:
A_regular = π(10)^2 = 100π ≈ 314.16 square inches
The difference in area is:
A_regular - A_training ≈ 314.16 - 28.27 ≈ 285.89 square inches
Therefore, the area of the training wheel is approximately 285.89 square inches smaller than the area of the regular bicycle wheel.