Question

What is the angle between minute hand and hour hand in 12.15​

Answer 1

Answer:

82.5 degrees

Step-by-step explanation:

Therefore, the relative angular motion of the minute handle with respect to the hour handle after 15 minutes past 12 o'clock is (6-0.5)*15 = 82.5 degrees. In other words, the angle between the hour handle and minute handle at 12 hour 15 minutes is 82.5 degrees or 82 degree 30 minutes.

Answer 2

Answer:

First, we will calculate how many degrees the hour hand moves per minute:-

1 revolution= 360 degrees.

1 hour= $\frac{360}{12}$

         =30 degrees.

1 min= $\frac{30}{60}$

      = $\frac{1}{2}$ degee.

15 mins= $\frac{1}{2} *15$

       = $\frac{15}{2}$degrees.

When the minute hand has moved to 15 mins ($\frac{360}{4}$= 90 degrees) the hour hand has moved= $\frac{15}{2}$ degrees towards the minute hand.

So the angle between the minute and hour hand = $90-\frac{15}{2}$= 82.5 degrees.