Chapter 4, Problem 4.6PE

(Random points on a circle) Write a program that generates three random points on a circle centered at (0, 0) with radius 40 and displays three angles in a triangle formed by these three points, as shown in Figure 4.4a. (Hint: Generate a random angle α in radians between 0 and 2π, as shown in Figure 4.4b and the point determined by this angle is (r^xcos (α), r^xsin (α)).)

FIGURE 4.4 (a) A triangle is formed from three random points on the circle. (b) A random point on the circle can be generated using a random angleα. (c) A pentagon is centered at (0, 0) with one point at the 0 o’clock position.