What is the measure of the angle formed by the hands of a clock at 10:20??

Question

Please explain, because apparently I seriously don't get geometry.

cold we explain it witha little less words....because i'm still cofused....pretend i was like a sixth grader

Answer 1

For each degree the minutes hand moves the hour's hand moves 1/12 (for in an hour it moves 30 degrees).
At 10:00 the hour's hand is 60 degrees left of the top. Let 20 minutes pass: the minute's hand is 120 degrees right of the top, and the hour's hand is 60 - 10 = 50 degrees left of the top. Now, 120 - (-50) = 170 degrees.

Answer 2

The angle from 12 to 4 is 2/6 the way around the clock, which is 120 degrees. At 10:20, the little hand is 1/3 of the way between 10 and 11, so it is the angle from 12 to 10 going counterclockwise is 60 degrees, because each big number is 30 degrees (360/12). That being said, 1/3 between to big numbers is 10 degrees (30*1/3). Therefore, 10 degrees needs to be subtracted from the distance from 12 to the little hand because it is 1/3 big numbers farther. So the distance from 12 to the little hand is 50 degrees. Therefore, the distance between the big and little hands is the sum of 50 and 120, making it 170 degrees. Hopefully this helps, but you may want to get a clock out and play with it for a bit.

Answer 3

It's roughly 180 degrees.
If the hands were pointing directly at the 10 and the 4 (twenty past) then they would be in a straight line = 180 degrees.
However, at 10.20 the hour hand is a bit past the 10.
It would have been on the 10 at 10 o'clock, but it's moved on a bit since.
Each hour the hour hand moves 30 degrees. So, in twenty minutes the hour hand moves 10 degrees.
As a result the angle is 170 degrees (= 180 - 10 degrees).
Of if you measure the other way around, the angle is 190 degrees (= 180 + 10 degrees).

Answer 4

Each section of the clock is 30 degrees away from the next because a circle is 360 and there are 12 sections, so 360/12 = 30. So if it helps you can look at or draw a clock & just add the sections. But in this particular problem the arms form a straight line which is always 180. You just need to memorize 360 is a circle & 180 is a straight line.

Answer 5

mo B is wrong because at 10:20 the hour hand is not on the 10 you kindergarten reject!

The clock is a circle of 360 degrees

where is the minute hand at 10:20?
At the 20 mark right? How many degrees is that?

Where is the hour hand?
At the 10 mark right? wrong its at the 10 and 20/60ths of the way between the 10 and 11 mark

hint:use the ratio of the minutes of the position of the hand to the minutes in amn hour.

Then compare the two degrees to get your answer

That should help or you are seriously lost and/or thick!

Answer 6

well in a whole circle you know the sum is 360 degree and you know there are 12 hours in a clock so divide 360/12 and you get 30 so from each hour to another hour is 30 degree so start counting from 10 to 4 and you get 6 hours them multiply 30 by 6 and your answer is 180 degree also 10:20 is a straight line and a straight line is 180 degree

Answer 7

One step at a time. I assume that this is a 12-hour clock.

The hour hand points at 10 + 20/60 = 10.33333 hours
The minute hand points at the "4" hour mark.

Difference: (12-10.33336) + 4 = 1.66666 + 4 = 5.66666 hours.

Angles from "12": (360/12) * (5.66666) =

Answer 8

180 degrees. if you took a clock (analog) and placed the hands on the 10 and 20 you would see that they form a straight line.

Answer 9

i beleive it is one hundred eighty degrees if using a protractor because the ten and the four on a clock r across from each other and test my theory ok.

hope this answers ur question?

Answer 10

170 DEGREE