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

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

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

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

Next, subtract the area of the training wheel from the area of the regular wheel:

A_regular - A_training = 100π - 9π
A_regular - A_training = 91π

Now, calculate the numerical value of 91π:

A_regular - A_training = 91 * 3.14159
A_regular - A_training ≈ 285.61

Therefore, the area of the training wheel is approximately 285.61 square inches smaller than the area of the regular bicycle wheel.
Wrong
My apologies for the mistake. Let's correct that.

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

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

Now, calculate the difference in area:

Difference = A_regular - A_training
Difference = 100π - 9π
Difference = 91π square inches

To find the numerical value of the difference:

Difference ≈ 91 * 3.14159
Difference ≈ 285.97 square inches

Therefore, the area of the training wheel is approximately 285.97 square inches smaller than the area of the regular bicycle wheel.
Are u sure
I apologize for the incorrect calculations in my previous responses. Let's double-check the calculations now:

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

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

Now, calculate the difference in area:

Difference = A_regular - A_training
Difference = 100π - 9π
Difference = 91π square inches

To find the numerical value of the difference:

Difference ≈ 91 * 3.14159
Difference ≈ 285.61 square inches

Therefore, after recalculating, the correct answer is that the area of the training wheel is approximately 285.61 square inches smaller than the area of the regular bicycle wheel. Thank you for your patience.