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what is the Angle between hour and minute hand at 12 45

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In all competitive exams the problems on clocks are asking.
Analog clock is considered as circle.
The total angle formed by a circle  is 3600
Now we need to find out the angle between the hour and minute hand.
Now we need to calculate the angle of hour  and minute hand by  considering the reference position as number 12.
Angle of  minute and hour hand is calculated from number 12 in clock.

Angle formed by a circular clock
3600
Angle of minute and hour hand calculated from
Number 12
Time taken by minute  hand for  one revolution
3600=60min                           
Angle formed by minute hand in I min
1min =60
Time taken by hour hand in one revolution
3600= 12 hours
Angle formed by hour hand in 1 hour
300= 1 hour
                          Angle between hour and minute hand at 12 45
Convert 12Hr 45Min into hours
=12+(45/60)
=12+(3/4)
=(48+3)/4
=51/4Hrs
Angle formed by hour hand 51/4  Hrs
=(51/4)x300
 =(51/2)x15
=51x7.5
=382.50
Angle formed by minute hand in 45 min
=45x6
=2700
Difference in angle between minute and hour hand
382.50-2700

=112.50

Angle between hour and minute hand at 12 45 is  112.50



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