Skip to main content

what is the Angle between hour and minute hand at 11 45

By
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 11 45
Convert 11Hr 45Min into hours
=11+(45/60)
=11+(3/4)
=(44+3)/4
=47/4Hrs
Angle formed by hour hand 47/4  Hrs
=(47/4)x300
 =(47/2)x15
=47x7.5
=352.50
Angle formed by minute hand in 45 min
=45x6
=2700
Difference in angle between minute and hour hand
352.50-2700

=82.50

Angle between hour and minute hand at 11 45 is  82.50



Labels:

Comments

Post a Comment

Popular posts from this blog

average of first 100 odd numbers

By
  Odd  numbers are 1,3,5,7,9,…. Average = sum of elements/  no  of elments Now we will see the sum of elements: Sum of first 2 odd  numbers: 1+3= 4= 2 2 Sum of first 3 odd  numbers: 1+3+5= 9= 3 2 Sum of first 4 odd  numbers: 1+3+5+7=16= 4 2 Sum of first 5 odd  numbers: 1+3+5+7+9 = 25 = 5 2 Sum of first n odd  numbers: 1+3+5+7+9+. . . . .  n numbers= n 2 Now we will see average: Average of first 2 odd numbers= (1+3)/2                                                           = 4/2                                                                 =2 Average of first 3 odd  numbers= (1+3+5)/3                                                           = 9/3                                                                 =3 Average of first 4 odd  numbers= (1+3+5+7)/4                                                           = 16/4                                                                 =4 Average of first 5 odd numbers= (1+3+5+7+9)/5            
1 comment
Read more

LOGIC BEHIND MAGIC SQUARE

By
Assume a magic square of 3x3 A B C D E F G H I The above figure shows a 3x3 magic square. In the magic square sum of colum, row, diagnol numbers should be same A+B+C=D+E+F=G+H+I=A+D+G=B+E+H=C+F+I=A+E+I=C+E+G=sum A+B+C D+E+F G+H+I A+D+G B+E+H C+F+I A+E+I C+E+G By  seeing the  above there is 8 type of sum is available. Row wise-3,  column wise-3, diagnol wise-2. Condition#1: There are 8 different combinations are there with same sum in a magic square. In the above 8 combinations A=2 times, B= 3 times, C= 2 times, D=3 times E=4 times, F=3 times, G=2 times, H=3 times, I= 2 times Hence the above forms the condition#2. In simply condition#2, middle number E appears 4 times in 8 combinations. Hence row, column, diagnol sum should be equal. In 3x3 magic square we are taking numbers from 1 to 9. From 9 numbers we need to take 3 numbers. From combination f
1 comment
Read more

average of first n natural numbers

By
The natural numbers are 1,2,3,4,5,. . . . . . now we will see the sum of natural numbers                       sum of first 3 natural numbers= 1+2+3=6 the above can be written as                      sum of first 3 natural numbers= 1+2+3=6=3(3+1)/2                      sum of first 4 natural numbers= 1+2+3+4=4(4+1)/2                      then sum of n natural numbers=1+2+3+......n terms=n(n+1)/2 then the average formula = sum of elements/no of elements                     the average of n natural numbers= sum of elements/ no of elements                                                                         =(n(n+1)/2)/n                                                                         =n(n+1)/2xn                                                                         =(n+1)/2   THE AVERAGE OF FIRST N NATURAL  NUMBERS=(n+1)/2 The average of first 5 natural numbers                                  sum of 5 natural numbers=1+2+3+4+5=15            
Post a Comment
Read more