Find the angle between the hour hand and the minute hand of a clock when the time is 3:25 ?

Sure, here's how you can calculate the angle between the hour and minute hand at 3:25.

Step 1: Calculate the angle covered by the hour hand. The hour hand covers 360 degrees in 12 hours. So, it covers 360/12 = 30 degrees in one hour. At 3:25, the hour hand has covered 3 hours and 25/60 (approximately 0.42) of an hour. So, the total angle covered by the hour hand = 30 * (3 + 0.42) = 102.5 degrees.

Step 2: Calculate the angle covered by the minute hand. The minute hand covers 360 degrees in 60 minutes. So, it covers 360/60 = 6 degrees in one minute. At 3:25, the minute hand has covered 25 minutes. So, the total angle covered by the minute hand = 6 * 25 = 150 degrees.

Step 3: Calculate the angle between the hour and minute hand. The angle between the hour and minute hand = |angle covered by the hour hand - angle covered by the minute hand| = |102.5 - 150| = 47.5 degrees.

So, the angle between the hour hand and the minute hand at 3:25 is 47.5 degrees.