A giant circular fair ride has a radius of 60m, with 12passenger pods spaced around the circumference at equal distances. How far is it directly from the sixth pod to the tenth pod?

Respuesta :

Answer:

The distance between the 6th and 10th seat is approximately 126m

Step-by-step explanation:

First of all, we will need to calculate the circumference of the circular fair ride.

which the formula is  

[tex]2\pi r= 2 \times \pi \times 60 \\\\=377m[/tex]

The circumference of the circle is 377m

At this point, we will have to take note that the pods are equally spaced.

To get the distance between the sixth pod and the tenth pod, we will have to use the principle of fractions of a whole.

There are 12 seats in total, the distance between the 6th and tenth seat is 4 seats. Expressing this distance in terms of seats, as a fraction is 4/12 equally spaced seats.

This ratio can be related to the circumference of the circle as

[tex]= \frac{4}{12} \times377\\\\=125.66m \approx 126m[/tex]

Therefore, the distance between the 6th and 10th seat is approximately 126m