Clock Problem The time is 4:13, what is the angle of the hour hand and the minute hand?

From 12 o'clock to 4 o'clock sharp.

The hour hand was turned 360 12 4 120 degrees.

From 4 o'clock to 4:13 o'clock.

The hour hand was turned another 360 12 60 13 degrees.

The minute hand was turned 360 60 13 78 degrees.

So at 4:13 the angle between the hour and minute hands is:

120 degrees.

The answer in the options is a bit off.

The original question is indeed 7/13 and 11So:

1 and 4/11 takes up 15/11 times 6 = 90/11, while the angle after 4 points is 13 and 7/11 times 75/75, plus 30 degrees between 3 and 4 points equals exactly 45 degrees.

Therefore, choose B correctly.

It should be 45 degrees, 4:13 o'clock, the minute hand is between 2 and 3, the hour hand is between 4 and 5, so there are 30 degrees between the three and four in the middle, plus the angle between the minute hand and the three and four and the hour hand, which is about 45 degrees, and in the other four options, this angle must be greater than 30 degrees, smaller than 90 degrees, and that's b.

Since it's a multiple-choice question, it's okay to estimate it. The number of degrees between every two numbers on the clock is 360 11, which is about 30 degrees, while 4:13 is a little bigger than 360 11, so it's 45 degrees.

Counting in the second hand, the movement angle of one second is 6 ° 4, there are 10 squares at a distance of 6, 13 squares at a distance of 12 in 13 minutes, that is, 10 + 13 = 23 23 * 6 = 138 ° 180-138 = 42 degrees There is an error.

The original question of this question is not 4:13, but 4:13 and 7/11, so the answer is b,o( o You can do the math again

Answer]: B This question is easiest to solve by elimination. The clock has a 360-degree revolution and a dial of 12 squares, with a difference of 30 degrees per dial.

At 4:13, the hour hand is in the fifth square, and the minute is in the third square, and the angle between the two will not exceed 90 degrees at a maximum and 30 degrees at a minimum, so A, C, and D are excluded. Therefore, choose B.

Answer]: B Because the hour hand returns to a grid every 12 minutes, and the minute hand moves every 1 minute, and it does not move until it is full, so the hour hand at 4:13 is on the first grid between 4 o'clock and 5 o'clock, and the minute hand is on the third square between 2 o'clock and 3, so at this time there are 8 divisions between the hour hand and the minute hand, and each division is 6 (360 12 5 = 6) degrees, so the angle between the hour hand and the minute hand is 6 x8 = 48 degrees, which is closest to 45 degrees. Therefore, choose B.

Answer]: B

If you want to do this kind of problem quickly, you have to use the elimination method, draw a picture and it is easy to launch, the angle must be greater than 30 degrees, and the blue rot must be less than the regret leak 90 degrees, so the answer is b.

Because a wide disturbance dial is 360 °, there are 12 squares, so each is 30 °, so 4 o'clock is 120 °, and then the minute hand is 15 minutes, that is, 1 4 of the hour hand, so the hour hand is cautious and walks 30 ° of 1 4, for, the hall skin is the degree of the hour hand, and then subtract 90 ° of the minute hand, that is.

The clock is clocked at 4:15 a.m., and the angle of the hour hand is 4x30+ degrees.

The minute hand is 6 degrees in the minute, and the needle is 6 degrees.

Total 220 degrees. Therefore, when the minute hand and the hour hand coincide, the angle of the minute hand = the angle of the Hongling taken by the hour hand + 220 degrees] When the clock has traveled for 40 minutes, the old hour hand and the minute hand coincide. When set to y minutes, a right angle is formed.

Or when the clock runs minutes or minutes, the angle between the hour and minute hands is 90 degrees. It is a flat angle when it is set to z minutes. When the minutes are elapsed, the angles between the hour and minute hands are flat.

Note: The minute hand walks for 1 minute, the angle of walking is 360 60 = 6 degrees, and the hour hand goes 360 12 60 = degrees.

30+ (23.)

Degree. 360-[Hail good 30 11-(degree.]

It's a little ugly, don't mind ha.

The angle you say should be the inside angle.

The circumferential angle is 360 degrees, and there are 12 large grids in a circle of the table, and the corresponding angle between the two grids is 30 degrees, and a large grid is divided into 5 small grids, so the angle corresponding to a small grid is 6 degrees. At 14:33, there are 3 complete large divisions between the hour and minute hands, corresponding to 90 degrees, and 3 small divisions, corresponding to 18 degrees, and the key is to find the angle of the hour hand to 3.

For every 1 large division of the hour hand, the minute hand goes in one circle, that is, 12 large divisions, and the ratio of the angle of rotation of the hour hand to the minute hand is 1:12. From 14 o'clock to 14:

33, the minute hand turns 198 degrees, the hour hand turns 198 12 = degrees, the angle of the hour hand to 3 is degrees. So at 14:33, the angle between the hour hand and the minute hand is degrees (just subtract the outer angle by 360 degrees).

The column formula is as follows: 360 12 = 30 (degrees) 30 5 = 6 (degrees) 6 3 = 18 (degrees) 180 + 18 = 198 (degrees) 198 12 = degrees) degrees) degrees).