The carousel on the national mall has four rings of horses. Kiran is running on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center then the inner ring is. And one rotation of the carousel, how much farther does mai travel from Kiran

Respuesta :

One way to find how much farther Mai travels from Koran would be to calculate the circumference, the distance traveled for both and then subtract.

Mai

C = 3.14 x 34
C = 106.76 feet

Kiran:

C = 3.14 x 18
C = 56.52 feet

106.76 feet - 56.52 feet=
50.24 feet

The difference between the two is 50.24 feet.

Answer:

Mia travels 50.24 feet more.

Step-by-step explanation:

Consider the provided information.

The carousel on the national mall has four rings of horses. Kiran is running on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center then the inner ring is.

The radius of the inner ring is 9 feet.

The radius of the outer ring is 8 feet farther out from the center then the inner ring is, this can be written as 9+8 = 17 feet.

To find how much farther does Mai travel from Kiran, calculate the circumference of the circle.

Now the formula used to find the circumference of the circle is: [tex]2\pi r[/tex]

The circumference of inner circle is:

[tex]2\pi r=2\times\frac{22}{7}\times 9[/tex]

[tex]2\pi r=56.52[/tex]

Thus, Kiran travels 56.52 feet.

Now calculate the distance travel by Mai.

The circumference of outer circle is:

[tex]2\pi r=2\times\frac{22}{7}\times 17[/tex]

[tex]2\pi r=106.76[/tex]

Thus, Mai travels 106.76 feet.

To find how much farther does mai travel from Kiran, subtract 56.52 from 106.76

106.76-56.52 = 50.24 feet

Hence, Mia travels 50.24 feet more.

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