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What is the angle between the two hands of a clock when the time is 3 hours 35 minutes?
Wiki User
∙ 13y ago
1021/2o
There are 12 digits on the clock face => 3600 / 12 = 30o between each digit.
As the minute hand makes one revolution, the hour hand only moves 30o.
Thus when the minute hand as moved 35 mins past the hour, or 35/60 of a revolution, the hour hand will have moved 35/60 x 30o = 171/2o past the digit of the hour.
Thus at 03:35 the minute hand will point to the 7 digit and the hour hand will point 171/2o past the 3 digit, or 121/2o before the 4 digit.
So the angle between them is the angle between the 4 and 7 digits plus this bit extra = 3 x 30o + 121/2o = 1021/2o
Wiki User
∙ 13y ago
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