# Program to determine the angle between the hands of a clock

## Determine the included angle between the hands of a clock if the time of the day is given.

Last Reviewed and Updated on February 7, 2020
Posted by Parveen(Hoven),
Aptitude Trainer and Software Developer

## Program to determine the angle between the hands of a clock.

Ask the user to enter two int numbers - h for hours, and m for minutes. Write a program to determine the angle between the hands of a clock.

Step 1: First create a function that takes two int type of arguments - hour and minute.

```float getAngle(int h, int m)
{
// first calculate angle for hours clock
// The angle is measured in degrees
// from the mark of number 12 clockwise.

// how many minutes have elapsed?
int totalMinutes = 60 * h + m;

// hours clock travels (360 / 12 ) / 60
// = 0.5 degrees in one minute. total degrees?
float angleHours = totalMinutes * 0.5f;

// next take the minutes hand
// it travels 360 degrees in 60 minutes
// so in one minute it travels =
// 360 / 60 = 6 degrees. total angle?
float angleMinutes = m * 6.0f;

// the difference
float angle = angleMinutes - angleHours;

// if it is negative, make absolute
if(angle < 0)
{
angle *= -1;
}

// if it is reflex, correct it
if(angle > 180)
{
angle -= 180;
}

return angle;
}```

Step 2: Call the above function from your main.

```int main()
{
int h, m;

cout << "Enter hours[0-11]: ";

cin >> h;

cout << "Enter minutes[0-59]: ";

cin >> m;

if(h > 11 || m > 59 || h < 0 || m < 0)
{
cout << "Bad input" << endl;

return 0;
}

cout << "Angle is: " << getAngle(h, m) << endl;

return 0;
}```

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