Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

Mathematics
1

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

(A) 95/2 degrees
(B) 90/3 degrees
(C) 94/3 degrees
(D) 95/3 degrees

2

STEP 1:

3.25 = 3 hrs 25 min = 41/12 hours,

STEP 2:

  • 12 hours= 360⁰
  • 1 hours= 30⁰

\Large\frac{41}{12} hours= \Large \frac{41}{12}.{30}=\Large\frac{205⁰}{2}

STEP 3:

  • 1 hours= 60 min =360⁰
  • 1 min= 6⁰
  • 25min = 150⁰

STEP 4:

The angle between the minute hand and hour:

150°-\Large \frac{205}{2}= \Large \frac{95°}{2}

Answer: \Large \frac{95°}{2}