Answer:
The circumference is 565.2 feet when the ferris wheel makes 4 rotations.
Step-by-step explanation:
Given that the diameter of the wheel is 45 feet.
That is:
[tex]d = 45\ feet[/tex]
We have to find the radius first
[tex]r = \frac{d}{2} = \frac{45}{2} = 22.5\ feet[/tex]
The circumference of the circular wheel for one rotation will be:
[tex]C = 2\pi r[/tex]
And for four rotations' circumference the circumference of one rotation will be multiplied with 4.
[tex]C = 2 * 3.14 * 22.5\\C = 141.3\ feet[/tex]
Total circumference:
[tex]C_T = 4C\\= 4 * 141.3\\=565.2\ feet[/tex]
Hence,
The circumference is 565.2 feet when the ferris wheel makes 4 rotations.
