Explanation:
Clock angle problem
Clock angle
problems are a type of mathematical problem which involve finding the
angles between the hands of an analog clock. Questions of this nature may appear in text books,
tests, examinations or mathematics competitions.
The
diagram shows the angles formed by the hands of an analog clock showing a time
of 2:20
Math
problem
Clock angle problems relate two different measurements: angles and time.
To answer the problem the relationship between the time shown (or an elapsed time)
and the position of the hands (as given by an angle) has to be found.
A general approach to such problems is to consider the rate of
change of the angle in degrees per minute. The hour hand of a normal 12-hour
analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand
rotates through 360° in 60 minutes or 6° per minute. (Our solved example in
mathguru.com uses this concept)
Equation for the degrees on the
minute hand
θ_{min.} = 6M
where:
1. is the angle in degrees of the hand
measured clockwise from the 12 o'clock position.
2. M is the minute
(Our solved example in mathguru.com uses this concept)
http://en.wikipedia.org/wiki/Clock_angle_problem
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