

Find the angle between the clock hands at 8:23. Let's use these instructions and solve a clock math problem:Įxample 3. Second angle between clock hands = 360° - First angle between clock hands
#CLOCK HANDS FULL#
As in the previous method, the other angle is elementary (together they make a full circle):.In other words, find the absolute value of the difference of two angles:įirst angle between clock hands = |Angle hrs - Angle mins| To find the first one, subtract the smaller angle form the bigger one. So, the clock angle formula for the hour hand is:Īngle hrs = 30° * number of hours + 0.5° * number of minutes,īecause the hour hand moves 30° with every full hour, and then 0.5° every minute. So, to find the correct angle, we also have to consider the number of minutes. Remember that the hour hand moves with every minute. Now, mark the angle between the hour hand and 12 o'clock.

So, to calculate the angle between the minute hand and 12 o'clock, multiply the number of minutes by 6 degrees. We already know that the minute hand moves by 6° each minute.

Mark the angle between the minute hand and 12 o'clock.
#CLOCK HANDS HOW TO#
How to find the angle of clock hands in a harder example? Remember – there are two clock angles! The other one is: 360° - 137° = 223° The angle between the hour hand and the minute hand equals:Īngle between clock hands = 90° + 23° + 24° = 137° We already know that it also moves 6° every minute. The minute hand moves between the number two to where it is now in four minutes. The angle between the hour hand and the number 10 on a clock is 14 minutes times 0.5°. The easiest way to find a is to see how far the hour hand is from the number 10. We see from the image that it's smaller than 30°. Then, we marked two remaining spaces with a (next to the hour hand) and c (next to the minute hand).įirst, let's find a. It contains 3 whole hours (from number 11 to number 2), so it equals: b = 3 * 30° = 90° We started by marking the angle b because it's the easiest to find its size. What's the angle between clock hands?įirst, draw a clock, and mark characteristic parts of the angle. A new tab will open.Now, let's see how to find the angle between clock hands without using any formulas on a harder clock math problem:Įxample 2. TIP#1 - How to Choose Clock Parts - Please check this information if you are needing assistance. Some people put them on to enhance the look of their clock, but they are not essential for function.
#CLOCK HANDS FREE#
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