Calculate the angle between hour hand and minute hand

This problem is know as Clock angle problem where we need to find angle between hands of an analog clock at

Example:

Input:  h = 12:00, m = 30.00
Output: 165 degree

The idea is to take 12:00 (h = 12, m = 0) as a reference. Following are detailed steps.



1) Calculate the angle made by hour hand with respect to 12:00 in h hours and m minutes.
2) Calculate the angle made by minute hand with respect to 12:00 in h hours and m minutes.

3) The difference between two angles is the angle between two hands.





How to calculate the two angles with respect to 12:00? 


The minute hand moves 360 degree in 60 minute(or 6 degree in one minute) and hour hand moves 360 degree in 12 hours(or 0.5 degree in 1 minute). In h hours and m minutes, the minute hand would move (h*60 + m)*6 and hour hand would move (h*60 + m)*0.5.





so the final answer will be the difference of the above formula...



(h*60+m)*0.5 - (h*60+m)*6




program






public class angle
{
    public static void main(String[] args)
    {
        System.out.println(cal_angle(10,34));
    }
    
    public static int cal_angle(int hour,int min)
    {
        int h_angle=(int)((hour*60+min)*0.5);
        int angle=(min*6)-h_angle;
        //now calculate minimum angle...
       
if (angle<0) angle=-angle;
  return Math.min(360-angle,angle);
         
    }
}

output
113