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 = π(3)^2 = 9π square inches
For the regular wheel: A = π(10)^2 = 100π square inches
The difference in area can be found by subtracting the area of the training wheel from the area of the regular wheel:
100π - 9π = 91π ≈ 285.68 square inches
Therefore, the area of the training wheel is approximately 285.68 square inches smaller than the area of the regular bicycle wheel.