Please solve this in JAVA and provide clear explanation for each step, thanks

*4.6 (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 a in radians between 0 and 21, as shown in Figure 4.4b and the point deter- mined by this angle is (r\cos (a), rtsin (a)).) x = rx cos(a) and y=r> v=rxsin(a) 0 o'clock position P2 (x, y) 60 r P3 OP1 65 r (0,0) 55 P4 P5 (a) (b) (c) 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 angle a. (c) A pentagon is centered at (0, 0) with one point at the 0 o'clock position