How is math used in clocks?
Clocks are used to measure time. A clock in general has 12 numbers written on it, from 1 to 12, an hour hand, and a minute hand. Clock angle problems relate two different measurements: angles and time. The angle is typically measured in degrees from the mark of number 12 clockwise.
How do you find the angle between clocks?
First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.
Why clock sum is 13?
The sum of all the numbers is 78. If we call x the total on the small side, then 5x+x=78, so 6x=78 and x=13. So the sum on the small side is 13.
What angle is 7 o clock?
Again, the two angles created by the hour hand and minute hand at seven o’clock are 150 degrees and 210 degrees.
Why does the clock only go to 12?
Early mechanical clocks showed all 24 hours, but over time, clockmakers found the 12-hour system simpler and cheaper. Of course, a.m. stands for ante meridiem, which is Latin for “before midday.” And p.m. means post meridiem — “after midday.”
What angle is 12 o clock?
0°
∴ angle between the hands of a clock at 12 ‘o’ clock is 0°
What is the angle at 7 15?
So 15 minutes ( since the minute hand is at 15 ) is 7.5° from 7. And from 6 it will be 37.5°. A total obtuse angle is 127.5°. Therefore, the reflex angle will be 232.5°.
What is the angle of the clock at 3 15?
Since the hour hand moves 360° in 12 hours, that is 30° in one hour, or 7.5° in 15 minutes. The minute hand is pointing to the 3 (for 15 minutes) since it moves 360° in 60 minutes. That is, 90° in 15 minutes.
Why don’t we use 24 hour time?
Early mechanical clocks showed all 24 hours, but over time, clockmakers found the 12-hour system simpler and cheaper.
How many times in 24 hours do the hands on a clock overlap?
The hands overlap about every 65 minutes, not every 60 minutes. The hands coincide 22 times in a day.