Question

What is the larger angle between the minute hand and hour hand at 12:40?

Answer 1

Answer:

At 12:00 the angle is 0 degree

At 12:40 the angle between 12:00 and minute hand=30*8=240 degree

this is because angle covered by minute hand in 5 minutes is 30 degree

At 12:40 the angle between 12:00 and hour hand=40*1/2=20 degree

this is because angle covered by hour hand in 1 minute is 1/2 degree

Now,the angle between hour hand and minute hand=240–20=220 degree

if taken obtuse angle=360-220=140 degrees

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Answer 2

Answer:

At 12:40 the angle between 12:00 and minute hand=30*8=240 degree

this is because angle covered by minute hand in 5 minutes is 30 degree

At 12:40 the angle between 12:00 and hour hand=40*1/2=20 degree

this is because angle covered by hour hand in 1 minute is 1/2 degree

Now,the angle between hour hand and minute hand=240–20=220 degree

if taken obtuse angle=360-220=140 degrees

Step-by-step explanation:

In 1 hour minutes moves 36o degrees

and a clock has 60 division

so 1 division =360/60=6 degrees.

At 12:40 minutes hand is at 40 division.

Because

in 6o minutes hours needle moves 5 divisions

so in 40 minutes it will be

at 5*40/60=10/3 divisions.

Hence total divisions

between the two hands=40-10/3.

Because 1 division =6 degrees

Therefore total degrees

between the two hands

=(40-10/3)*6

=(110/3)*6

=220 degrees

when measured clockwise.

In anticlockwise it is =360-220

=140