While solving placement papers or any aptitude exams, solving problems on concepts like clocks is always time consuming.
Here we have provided shortcuts and tricks to calculate angle between hands of clock.
To calculate the angle between the hour and minute hands of a clock, you can use the following steps:
Determine the number of hours and minutes that have passed since the clock last showed 12:00. For example, if it is currently 2:30, 2 hours and 30 minutes have passed.
Convert the number of minutes to a fraction of an hour by dividing it by 60. For example, 30 minutes is 30/60 = 0.5 hours.
Add the number of hours and the fraction of an hour to get the total time since 12:00. In the example above, the total time would be 2 + 0.5 = 2.5 hours.
Multiply the total time by 30 to convert it to degrees, since the hour hand moves 30 degrees per hour. In the example above, the hour hand would have moved 2.5 * 30 = 75 degrees.
Subtract the number of degrees moved by the hour hand from the number of degrees moved by the minute hand (360) to find the angle between the two hands. In the example above, the minute hand would have moved 360 - 75 = 285 degrees.
Therefore, the angle between the hour and minute hands on a clock showing 2:30 would be 285 degrees.