A bicycle training wheel has a radius of 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?

Answer 1

The area of a circle is πr^2, where r is the radius of the circle.

For the training wheel:
Radius = 6 inches
Area = π(6)^2 = 36π square inches

For the regular bicycle wheel:
Radius = 10 inches
Area = π(10)^2 = 100π square inches

To find the difference in area, we subtract the area of the training wheel from the area of the regular bicycle wheel:

100π - 36π = 64π square inches

To find the approximate value, we substitute π with 3.14:

64(3.14) ≈ 200.96 square inches

Therefore, the area of the training wheel is approximately 200.96 square inches smaller than the area of the regular bicycle wheel.