Find angle between the minute and hour hand of the clock when hour hand is at 3 and minute hand is at 2?

Find angle between the minute and hour hand of the clock when hour hand is at 3 and minute hand is at 2? Correct Answer 35 degrees

The logic follows here is :-

Hour hand covers 3600 in 12 hours
Angular distance covered in 1 hour = 360/12 = 300
Angular distance covered in 60 minutes = 300
Angular distance covered in 1 minutes = 1/20

Calculation :

Minute hand covers 3600 in 60 minutes
60 minutes = 3600 
1 minute =360/60
1 minute = 60 

Here, Time = 3:10

Angle covered by minute hand = 10 × 60 = 600

Angle covered by hour hand = 3 × 30 + 10 × 1/2 = 950

Angle between hour and minute hands = 950 - 600 = 350

Hence, the angle made is 350.

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Where M = 10 and H = 3

Thus, the correct answer is "350".

Related Questions

There are 2 clocks A and B. The angle between minutes and hour hand of the clock A is x degrees and that between hands of clock B is y degrees. The sum of x and y is 180 degrees and difference between x and y is 40 degrees. If time on clock A is between 2 and 3 and on clock B is between 4 and 5, which of these is correct time combination of both clocks?