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 3 25 
 | 
 |||||
| 
   
Convert 3Hr 25Min into hours 
 | 
  
   
=3+(25/60) 
=3+(5/12) 
=(36+5)/12 
=41/12 Hrs 
 | 
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| 
   
Angle formed by hour hand 41/12  Hrs 
 | 
  
   
=(41/12)x300 
 =3.416x30 
=102.50 
 | 
 ||||
| 
   
Angle formed by minute hand in 25 min 
 | 
  
   
=25x6 
=1500 
 | 
 ||||
| 
   
Difference in angle between minute and
  hour hand 
 | 
  
   
1500-102.50 
 | 
 ||||
| 
   | 
  
   
=47.50 
 | 
 ||||
| 
   
Angle between hour and minute hand at 3 25 is 47.50 
  | 
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Thank you so much...
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