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- Clock Aptitude Reasoning Tricks & Problems - Finding Angle Between The Hands of a Clock Given Time
Clock Aptitude Reasoning Tricks & Problems - Finding Angle Between The Hands of a Clock Given Time
This geometry & Trigonometry video tutorial explains how to solve clock aptitude problems with shortcuts and tricks provided. It explains how to find the angle between the hands of a clock given time. It's important to understand that 12 hours represent 360 degrees and 1 hour represents 30 degrees. If the minute hand is at 12, the hour hand will be directly on the number it's pointing at. If the minute hand is on the 6, the hour hand will be in between two numbers. This video contains plenty of examples and practice problems.
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Video Transcript
the time on an analog clock
reads 12 30.
what is the angle between the minute
hand and the hour hand of the clock
so on a clock this is going to be 12
we have 3 on the right
six below
and nine
so at 12 30
the minute hand that's the long hand is
going to be at the six
and the short hand the hour hand
is not exactly at 12
because if it was exactly at 12 it would
be 12 o'clock
if it wasn't one o'clock the hour hand
would be at one
but if it's 12 30
the hour hand
which is the shorthand has to be between
12 and 1.
exactly right in the middle i'm gonna
represent the hour hand in red
so that's twelve thirty our goal is to
find the angle
between
those two hands
so how can we do so
now first it's helpful to know
the measure of one hour
so let's focus on the three
what's the angle between the two and the
three
notice that it takes 12 hours for the
hour hand to make a complete revolution
so 12 hours
correlates to 360 degrees because that's
the entire circle
so one hour is going to be 360 divided
by 12 so every hour represents an angle
of 30.
so therefore
from one o'clock
to six o'clock
that's a time period of five hours
so if one hour represents 30 degrees
then 5 hours is 5 times 30 which is 150
degrees
so therefore
from 1
