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:
[tex]C = 2 \pi r[/tex]
Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14
[tex]C = 2 \times 3.14 \times 14\\\\C = 87.92[/tex]
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
[tex]distance = 5 \times 87.92\\\\distance = 439.6[/tex]
Thus the horse traveled 439.6 feet after walking around the track 5 times