A circular field that measures 100π meters in circumference has six mo

Answer = C. 300



Six equilateral triangles formed with each side = radius of circle \(= \frac{100\pi}{2\pi} = 50\)

Total length of path = 6*50 = 300

VERITAS PREP OFFICIAL SOLUTION:

The key to solving this question is recognizing that, with six equally spaced items around a circle, the lines connecting the center of the circle to each item will form 60-degree angles (each pair of adjacent lines will form a 1/6 section of the circle). That means that, since you know the circumference of the circle is 100π the radius is 50. And what you're really looking to calculate - the distance from each monument to the next - will then form a set of equilateral triangles with all sides 50. Each monument-to-monument distance will form the third side of an isosceles triangle (each radius is the same) with one angle 60, so they must all be equilateral.

Therefore, the straight-line distance from each monument to the next will be 50, and with six such distances forming the path, the path will total 300 meters in length.

Answer: C.