Question

At 2:30p.m., the angle formed by the hands of a clock measures?

how to find this?
please include a picture if possible

Please answer clearly and explain the solution clearly and easy to understand. Thanks!
(guaranteed medal for a good answer)

Answer 1

Which hand minute hand, hour hand or second hand?

Answer 2

minute and hour?

Answer 3

consider, at 2:30, the minute hand is 4/12 of the clock's circumference away from the hour hand. 4/12 of 360 degrees is 120 degrees.

Answer 4

From the diagram, the half of a clock is 180 degrees and the hours divide the face into 6.

So you want 4/6 of 180 = 120 degrees.

Answer 5

The angle should be 105 degrees. The hour hand will be half way between 2 and 3. The distance between each number on the clock is 30 degrees or 360/12. The distance between half a number is 15 degrees. We have 15 degrees between where the hour hand is and 3 plus the distance between 3 and 6 which is 90 degrees:
15+90 = 105 degrees.

Answer 6

Good spot:-)