Answer:
301.44 feet.
Step-by-step explanation:
Given: Distance between the girl and the center of the carousel is 8 feet.
Girl stands in a carousel and rotates around the ride 6 times.
We know the radius if carousel is 8 feet.
Now, finding the circumference of carousel to find the area covered in one rotation of carousel.
Circumference= [tex]2\pi r[/tex]
⇒ Circumference= [tex]2\pi \times 8[/tex]
∴ Circumference= [tex]16\pi[/tex]
As given, carousel rotated 6 times.
Length covered in 6 rotation of carousel= [tex]6\times 16\pi[/tex]
⇒ Length covered in 6 rotation of carousel= [tex]96\pi[/tex]
Taking, π = 3.14
⇒ Length covered in 6 rotation of carousel= [tex]96\times 3.14[/tex]
∴Length covered in 6 rotation of carousel= [tex]301.44\ feet[/tex]
Hence, 301.44 feet travelled by little girl in a Carousel.
