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

Question

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

Answer 1

To find the area of each wheel, we can use the formula for the area of a circle: A = πr^2.

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

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

The difference in area can be found by subtracting the area of the training wheel from the area of the regular bicycle wheel:
Difference = A_regular - A_training
Difference = 100π - 9π
Difference = 91π square inches

Now, we can calculate the numerical value using 3.14159 as an approximation for π:
Difference ≈ 91(3.14159)
Difference ≈ 285.74 square inches

Therefore, the area of the training wheel is approximately 285.74 square inches smaller than the area of the regular bicycle wheel. So the correct answer is 285.74 rounded to the nearest hundredth.