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?

21.98

153.86

285.74

1,142.96

1 answer

To calculate the area of a circle, you use the formula A = πr^2, where r is the radius of the circle.

For the training wheel with a radius of 3 inches:
A = π(3)^2
A = 9π
A ≈ 28.27 square inches

For the regular bicycle wheel with a radius of 10 inches:
A = π(10)^2
A = 100π
A ≈ 314.16 square inches

The difference in area is:
314.16 - 28.27 ≈ 285.89 square inches

Rounded to the nearest hundredth, the area of the training wheel is approximately 285.89 square inches smaller than the area of the regular bicycle wheel. Therefore, the closest option listed would be 285.74.