There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?
A
4
B
6
C
8
D
12
Correct Answer: Option C
Explanation
1. **Analyze the Cycle**: We have a circle with 24 equally spaced points. This is analogous to a 24-hour clock face [6, 24].
2. **Apply Shape Constraint**: We need to form equilateral triangles. An equilateral tri