SOLUTION: the hands of a clock form central angles. what is the approximate measure of the central angle at 6:00, 12:05, and 6:05 ~ thank you so much

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Question 455486: the hands of a clock form central angles. what is the approximate measure of the central angle at 6:00, 12:05, and 6:05
~ thank you so much
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the hands of a clock form central angles.
what is the approximate measure of the central angle at 6:00, 12:05, and 6:05
:
6:00 is straight up and down, 180 degrees
:
we know the hour hand covers 30 degrees in one hr
we know the minute hand covers 30 degrees in 5 min
:
12:05
The hour hand: 5%2F60*30 = 2.5 degrees
The minute hand: 5 min = 30 degrees
30 - 2.5 = 27.5 degrees is the angle between the hr and minute hand a 12:05
:
6:05
the hour hand: (6*30) + 2.5 = 182.5 degrees
the minute hand: 5 min = 30 degrees
182.5 - 30 = 152.5 degrees and 6:05