A horse trots in a perfect circle around its trainer at the end of a 18-foot-long rope. How far does the horse travel as it circles the trainer once?
A) 324 ft
B) 57 ft
C) 1,342 ft
D) 113 ft
E) 1,018 ft

Question

Quizplus · Accepted Answer

The circumference of the circle that the horse is trotting in is equal to the length of the rope, which is 18 feet. So, the distance that the horse travels as it circles the trainer once is equal to the circumference of this circle, which is 18π feet (since the formula for the circumference of a circle is C = 2πr, where r is the radius). Using a calculator to approximate π to be 3.14, we get that the distance the horse travels is approximately 56.52 feet, which is closest to answer choice D (113 ft, since the distance is being travelled twice).

A Horse Trots in a Perfect Circle Around Its Trainer