Question

write a C program to Calculate the smallest angle between hour and minute hand of the clock , which shows the difference of time at a particular longitude and the time at UTC i.e. we have to take smaller of the two angle formed between hour and minute hand.

Answer 1

Answer:

The formula is

The minute hand takes 60 minute to covered 360 degree.

Therefore it takes one minute to covered 6 degree

As well as hour hand takes 12 hours to covered  360 degree

Therefore it takes one minute to covered  0.5 degree

#include <stdio.h>  

#include <stdlib.h>  

 

//This function  is used to find the smallest angle between two hands

int smallest(int a, int b) { return (a < b)? a: b; }  

  int calculateAngle(double h, double m)  

{  

if (h <0 || m < 0 || h >12 || m > 60)  

       printf("Please Enter a Correct Input");  

    if (h == 12)

       h = 0;  

   if (m == 60)

       m = 0;  

//Here we calculate the angle with respect to 12.00

   int hour_angle = 0.5 * (h*60 + m);  

   int minute_angle = 6*m;  

   int angle = abs(hour_angle - minute_angle);    

   angle = smallest(360-angle, angle);  

   return angle;  

}  

 

int main()  

{  

printf("%d n", calculateAngle(9, 60));  

   printf("%d n", calculateAngle(3, 30));  

   return 0;  

}