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

5 answers

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

For the training wheel:
Radius = 3 inches
Area = π(3)^2 = 9π ≈ 28.27 square inches

For the regular bicycle wheel:
Radius = 10 inches
Area = π(10)^2 = 100π ≈ 314.16 square inches

The difference in area is:
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.
that is wrong
Let's correct the calculation:

Training wheel:
Radius = 3 inches
Area = π(3)^2 = 9π ≈ 28.27 square inches

Regular bicycle wheel:
Radius = 10 inches
Area = π(10)^2 = 100π ≈ 314.16 square inches

The difference in area is:
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.
nope still wrong
Apologies for the error. Let's recalculate the difference in area between the two wheels:

Training wheel:
Radius = 3 inches
Area = π(3)^2 = 9π ≈ 28.27 square inches

Regular bicycle wheel:
Radius = 10 inches
Area = π(10)^2 = 100π ≈ 314.16 square inches

The difference in area is:
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.