Question

prepare a moldel clock and observe different timing are draw the diagrams then find the angles made by the hands of the clock​

Answer 1

Answer:

Step-by-step explanation: What is the angle between the hands of a clock at 1 o'clock?

clock1

At 1 o'clock the minute hand (red) points to the 12 and the hour hand (blue) points to the 1. So we need to find the angle between the 12 and the 1.

How many of this angle are there in a complete turn?

clock2

There are 12 of them in a complete turn (360°), so each one must be 360° ÷ 12 = 30°

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.

What is the angle between the hands of a clock at 2:30?

clock3

At 2:30 the minute hand (red) points to the 6 and the hour hand (blue) points halfway between the 2 and the 3.

So how many lots of 30° do we have this time?

clock4

   The angle between the 5 and the 6 is 30°

   The angle between the 4 and the 5 is 30°

   The angle between the 3 and the 4 is 30°

   The remaining angle is ½ × 30° = 15°

So the angle between the hands of a clock at 2:30 = 30° + 30° + 30° + 15° = 105°