What is the angle between the hands at 4.40?a)95°b)100°c)120&d...
Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at
MM
minutes past
HH
'o clock
When the minute hand is ahead of the hour hand, the angle between the two hands at
MM
minutes past
HH
'o clock
Here H = 4, M = 40 the minute hand is ahead of the hour hand. Hence the angle
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What is the angle between the hands at 4.40?a)95°b)100°c)120&d...
The angle between the hands at 4:40 can be calculated by finding the difference between the positions of the hour and minute hands.
At 4:40, the minute hand points at the 8 on the clock, while the hour hand is halfway between the 4 and 5.
The minute hand moves 360 degrees in 60 minutes, so it moves 8 degrees per minute.
Since it is 40 minutes past the hour, the minute hand has moved 8 degrees x 40 minutes = 320 degrees.
The hour hand moves 360 degrees in 12 hours, so it moves 30 degrees per hour.
Since it is 40 minutes past the hour, the hour hand has moved an additional 30 degrees x (40/60) = 20 degrees.
Therefore, the angle between the hands at 4:40 is 320 degrees - 20 degrees = 300 degrees.
So the correct answer is not 95 degrees, but rather 300 degrees.