How many degrees in the angle between the hour and minute hands of a clock when the time is a quarter past 3?

Question

Or are there no degrees? Hmmmmm.

Answer 1

7.5°

360° for a full circle, therfore 30° per hour.
At 3:15, the minutes hand points to the 3, and the hour hand points slightly ahead of the 3. 1/4 of an hour ahead... that is 7.5° ahead. (30/4=7.5)

Answer 2

My first response was going to be no degrees but then I realized that it was incorrect. When the clock reads quarter past 3, the minute hands is on the 3 position and the hour hand is somewhere between the 3 and 4. The hours hand actually moves 30 degrees in 60 minutes in this case from 3 o'clock to 4 o'clock. That comes out to about 1 degress every 2 minutes so beings the time is quarter past three. we take 15 minutes divided by 1 degree per 2 minutes to find that the hour hand is 7.5 degrees past the 3 position. Because the minute hand is at the 3 o'clock position and the minute hand is 7.5 degree after that, the angle between the hour and minute hands of a clock when the time is a quarter past 3 is 7.5 degrees. Except if you've got a digital clock, and then there are no degrees.

Answer 3

Well, each minute mark is 6 degrees, and the hour hand will move 6 degrees every 12 minutes.

So in 15 minutes, the hour hand has moved 6 + (3/12)(6) = 7.5 degrees. And since the minute hand is now exactly on the 3, the distance between them is the same.

7.5 degrees

Answer 4

At 3 o'clock the hour hand and makes 0 degrees with 0:00 O'clock. At 3:15 the minute hand makes 90 degrees and the hour hand makes [(3+15/60)/3]*90 = 97.5 degrees with 0:00 O'clock, respectively. Thus, the angle between the hour and minute hands at 3:15 is 97.5-90 = 7.5 degrees.

Answer 5

These questions rarely gets answered- It requires too much brain power.

Answer 6

7.5 degrees

Answer 7

none.their on top of each other