The first Ferris wheel was built in 1893 in Chicago. It's diameter was 250 feet. How many feel did the Ferris wheel rotate with one complete turn?

Respuesta :

The wheel covered 785 feet in one complete turn

Solution:

Given that, The first Ferris wheel was built in 1893 in Chicago

Diameter of wheel = 250 feet

Let us find the radius of wheel

[tex]Radius = \frac{diameter}{2}\\\\Radius = \frac{250}{2}\\\\Radius = 125[/tex]

Thus radius of wheel is 125 feet

We have to find the distance covered in one complete turn

The number of feet the wheel rotated in one turn is equal to its circumference

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

Substituting the values we get,

[tex]C = 2 \times 3.14 \times 125\\\\C = 785[/tex]

Thus the wheel covered 785 feet in one complete turn

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