Angle between hour and minute hand at 11 30

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 30
Convert 11Hr 30Min into hours	=11+(30/60) =11+(1/2) =(22+1)/2 =23/2 Hrs
Angle formed by hour hand 23/2  Hrs	=(23/2)x300  =11.5x30 =3450
Angle formed by minute hand in 30 min	=30x6 =1800
Difference in angle between minute and hour hand	3450-1800
	=1650
Angle between hour and minute hand at 11 30 is 1650