Question

Mei and Anju are sitting next to each other on different horses on a carousel. Mei's horse is 3 meters from the center of the

carousel. Anju's horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled
than Anju?
more meters

Answer 1

2
`\pi` more meters

Answer 2

6.28m more than Anju.

Explanation:

The length of a circumference is defined as:
`L=2 \pi r`.

In this case we use this definition, because both persons used a whole rotation, which marks two different circumferences. So, we just have to find the length of each one and compare.

Mei.

`L_(Mei) = 2 \pi r\\L_(Mei) =2 \pi (3m)=6 \pi \ m`

Anju.

`L_(Anju) = 2 \pi r\\L_(Anju) =2 \pi (2m)=4 \pi \ m`

The difference would be
`(6 \pi - 4 \pi)m=2 \pi \ m`

Using the approximate value of
`\pi \approx 3.14`

We have,
`2(3.14)m=6.28m`

Therefore, Mei traveled 6.28m more than Anju.