Each wheel of Gla's 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 help asap​

Respuesta :

Answer: 300 times

Step-by-step explanation:

The circumference of a circle can be calculated with the following formula:

[tex]C=\pi d[/tex]

Where "d" is the diameter of the circle.

In this case you know that the diameter of each wheel is:

[tex]d=24\ inches[/tex]

Since:

 [tex]1\ ft=12\ in[/tex]

Then the diameter in feet is:

[tex]d=2\ ft[/tex]

Substitute the diameter into the formula in order to calculate the circumference of each wheel. This is:

[tex]C=\pi (2\ ft)\\\\C=6.283\ ft[/tex]

Knowing that Gia rides her bike 1,884 feet, you can calculate how many times her front bicycle wheel turns all the  way around, by dividing the distance by the circumference of the wheel.

Therefore, you get the following result to the nearest whole number:

[tex]\frac{1,884\ ft}{6.283\ ft}\approx300\ times[/tex]

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