Question

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

Answer 1

Correct option is (c) 8

Each equilateral triangle is made by joining the three points as in the figure given below. Circle is divided into three sectors.

Hence, required number of triangles = \(\frac{24}3 = 8\)