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.
How are the minute hand and hour hand the same?
In hours, the minute hand completes laps. In the same amount of time, the hour hand completes laps. The first time the minute and hour hands overlap, the minute hand has completed one lap more than the hour hand.
What will be the angle between the hands of a clock when the time is at 4 40 PM?
Explanation: At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. That is, the hands are three and one-third number positions apart. Each number position is thirty degrees around the clock, so the hands form an angle of \displaystyle 3\tfrac{1}{3} \cdot 30 = 100^{\circ}.
At what point between the hour hand and the moment hand of a clock the time is 4 35?
Angle from hour hand to minute hand at 4:35 At 4:35, the hour hand has moved 275 out of 720 possible times from the top of the clock. 275 times 0.5 degrees is 137.5 degrees. At 4:35, the minute hand has moved 35 out of 60 possible times from the top of the clock. 35 times 6 degrees is 210 degrees.
What angle is 10 o clock?
At 10′O clock the hour hand is at 10 and the minute hand is at 12 so the angle formed will be 30*2 =60 degrees.
How much does a watch lose per day if its hands coincide every 64 min?
In the given watch, hands coincide every 64 minutes. i.e., in the given watch, in 64 minutes, minute hand gains 60 minute spaces over the hour hand.
How many times minute hand and hour hands are at 90 in a day?
About 16.36. Since we have 12 x 60 minutes in a day, we have 12 x 60 / 16.36 gaps that satisfy 90 degrees, which is 44. Each hour has 2 occurrences of 90 degrees. In 12 hrs, it overtakes 24 times.
What angle is 6 o clock?
180∘
Now when the time is 6 o’clock, there are six sectors between the minute hand and the hour hand. ∴The angle between the minute hand and the hour hand at 6 o’clock is 180∘, which is a straight angle. The angle between the hands of the clock, at 6 o’clock is 180∘, is a straight angle. Option A is the correct answer.
Does the minute hand of a clock turn in 20 minutes?
For a minute, the hour hand rotates by 30/60 = 1/2 degrees. hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.
How much does a watch lose per a day if its hand coincide every 64 minutes?
What angle is 1 o clock?
So the angle between the hands of a clock at 1 o’clock is 30° . Note: It doesn’t matter whether we are talking about 1 am or 1 pm, the answer is exactly the same for both. The angle between the hands at 1 o’clock could also be given as the reflex angle 330°, but we will always give the smaller (acute or obtuse) angle.
How to calculate the angle between the hour and minute hands?
Here, the user will input the hour and minute. Then we need to calculate the angle between the given hours and minute. For example, if the user input as 9hour 30 minutes, then the angle between the hour hand and minute hand should be 105 degrees. If the input is 13 hour 30 minutes then the output should be 135 degrees
Which is faster the hour hand or the minute hand?
Consequently, the time where they meet lies between 7:38 and 7:39 on the clock. Hour hand goes 360 degrees in 12 hours, or 30 degrees/hour, or 0.5 degrees per minute. Minute hand goes 360 degrees in 60 minutes. or 6 degrees/minute. So the minute hand moves 5.5 degrees/minute faster then the hour hand.
Where is the minute hand on a clock?
At , the hour hand is on the and the minute hand is at the . There are spaces on a clock, and these hands are separated by spaces. Thus, the angle between them is the degrees of the entire clcok, which is .
When does the hour hand move 360 degrees?
But, once the hour hand moves one more minute, the minute hand won’t have reached that spot also. Consequently, the time where they meet lies between 7:38 and 7:39 on the clock. Hour hand goes 360 degrees in 12 hours, or 30 degrees/hour, or 0.5 degrees per minute. Minute hand goes 360 degrees in 60 minutes. or 6 degrees/minute.
