Question

A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times. About how far had the horse traveled after walking around the track 5 times? Explain

Answer 1

The horse traveled 439.6 feet after walking around the track 5 times

Solution:

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

The circumference of circle is given as:

`C = 2 \pi r`

Where, "r" is the radius and
`\pi` is a constant equal to 3.14

`C = 2 * 3.14 * 14\\\\C = 87.92`

Thus the distance traveled by horse for one time in circular track is 87.92 feet

About how far had the horse traveled after walking around the track 5 times?

Multiply the circumference by 5

`distance = 5 * 87.92\\\\distance = 439.6`

Thus the horse traveled 439.6 feet after walking around the track 5 times