Question

The diameter of a child's bicycle wheel is 12 inches. Approximately how many revolutions of the wheel will it take to travel 1,200 meters? Use 3.14 for π and round to the nearest whole number. (1 meter ≈ 39.3701 inches)

Answer 1

First, we need to convert the diameter of the wheel from inches to meters:

12 inches = 12/39.3701 meters ≈ 0.3048 meters

The circumference of the wheel can be found using the formula:

circumference = π x diameter

circumference ≈ 3.14 x 0.3048 ≈ 0.9585 meters

To find the number of revolutions needed to travel 1,200 meters, we can divide the distance by the circumference:

number of revolutions ≈ 1200 / 0.9585 ≈ 1251.7

Rounding to the nearest whole number, we get:

number of revolutions ≈ 1252

Therefore, it would take approximately 1,252 revolutions of the wheel to travel 1,200 meters.

Answer 2

First, we need to convert 1,200 meters to inches:

1,200 meters * 39.3701 inches/meter = 47,244.12 inches

Next, we need to find the circumference of the wheel:

Circumference = π * Diameter

Circumference = 3.14 * 12 inches

Circumference = 37.68 inches

To find the number of revolutions, we can divide the total distance traveled (47,244.12 inches) by the distance traveled per revolution (37.68 inches):

47,244.12 inches ÷ 37.68 inches/revolution ≈ 1,254 revolutions

Rounding to the nearest whole number, it will take approximately 1,254 revolutions of the wheel to travel 1,200 meters on a child's bicycle.