Question

Each wheel of gias bicycle is 24 inches in diameter gia rides her bike 1,884 feet to the nearest whole number how many times does her front bicycle wheel turn all the way around

Answer 1

The wheel turned a total of 300 times in 1,884 feet.

Explanation:

Step 1:

The wheels of the bicycle have a diameter of 24 inches. So the radius of the wheels is 12 inches.

To determine how many times the wheel turns we divide the distance traveled by the circumference of the wheels.

The circumference of a circle is given by multiplying 2π with the radius.

The circumference of the wheel
`= 2(3.1415)(12) = 75.396.`

The circumference of the wheel is 75.396 inches.

Step 2:

Gia traveled 1,884 feet, we need to convert this into inches.

If 1 feet = 12 inches, 1,884 feet = 22,608 inches.

The number of times the wheel turned
`(22,608)/(75.396) = 299.8567.`

Rounding this off, we get that the wheel turned a total of 300 times in 1,884 feet.