Calculate the angle between hour hand and minute hand | GeeksforGeeks

Calculate the angle between hour hand and minute hand | GeeksforGeeks
This problem is know as Clock angle problem where we need to find angle between hands of an analog clock at .

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.

http://algorithms.tutorialhorizon.com/clock-angle-problem/

• At 12:00 both hand meet, take it as reference.
• Angle between hand and minute = angle of hour hand ~ angle of minute hand.
• return minimum(angle, 360-angle)
• hour hand moves 360 in 12 hours => 360/12 = 30 degree in one hour or 0.5 degree in 1 min
• Minute hand moves 360 in 60 mins => 360/60 = 6 degree in one min
• So if given time is h hours and m mins, hour hand will move (h*60+m)*0.5 and minute hand will move 6*m

    public static double angle(int hour, int minute) {

        if (hour < 0 || minute < 0) {

            return -1;

        }

        if (hour == 12) {

            hour = 0;

        }

        if (minute == 60) {

            minute = 0;

            hour += 1;

        }

        double hourAngle = (hour * 60 + minute) * 0.5;

        double minAngle = minute * 6;

        double bwAngle = Math.abs(hourAngle - minAngle);

        return Math.min(360 - bwAngle, bwAngle);

 

    }

int calcAngle(double h, double m) {     // validate the input     if (h <0 || m < 0 || h >12 || m > 60)         printf("Wrong input");     if (h == 12) h = 0;     if (m == 60) m = 0;     // Calculate the angles moved by hour and minute hands     // with reference to 12:00     int hour_angle = 0.5 * (h*60 + m);     int minute_angle = 6*m;     // Find the difference between two angles     int angle = abs(hour_angle - minute_angle);     // Return the smaller angle of two possible angles     angle = min(360-angle, angle);     return angle; }

http://javagtu.blogspot.com/2014/07/calculate-angle-between-hour-hand-and.html
https://sites.google.com/site/mymathclassroom/trigonometry/clock-angle-problems/clock-hands-form-into-a-straight-line
The formula for finding the clock angle θ is 

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