Question

what is the angle in radian between 6:15 p.m.​

Answer 1

Answer:

At 3:30 am (as also pm) the hour hand is between 3 and 4 while the minute hand is at 6. Considering the position of 12 the minute hand is at 180 degrees. The hour hand covers 30 degrees in 60 mins, so in 30 min of the minute hand, it would have covered 15 degrees (from 3) or 30x3 + 15 = 105 degrees (from 12). So the angle between the hour hand and the minute hand at 3:30 is 180 - 105 = 75 degrees.

Now 180 degrees is (pi) radians so 75 degrees = (75/180)(pi) = 5(pi)/12.

Answer is (5/12)pi.