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Find angle between the minute and hour hand of the clock when hour hand is at 3 and minute hand is at 2?
- a)45 degrees
- b)30 degrees
- c)50 degrees
- d)35 degrees
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find angle between the minute and hour hand of the clock when hour han...
Time = 3:10
In 1 hour angle covered by hour hand is 30 degrees.
Angle covered by hour hand in 19/6 hours = 19/6 × 30 = 95 degree
Angle covered by minute hand in 1 minute = 6 degree
Angle covered by minute hand in 10 minutes = 6 × 10 = 60 degree
Required angle = 95 – 60 = 35 degrees
Hence, ‘35 degrees’ is the correct alternative.
In 1 hour angle covered by hour hand is 30 degrees.
Angle covered by hour hand in 19/6 hours = 19/6 × 30 = 95 degree
Angle covered by minute hand in 1 minute = 6 degree
Angle covered by minute hand in 10 minutes = 6 × 10 = 60 degree
Required angle = 95 – 60 = 35 degrees
Hence, ‘35 degrees’ is the correct alternative.
Most Upvoted Answer
Find angle between the minute and hour hand of the clock when hour han...
Angle between minute and hour hand of the clock:
Hour hand at 3 and minute hand at 2 position
- At 3 o'clock, the hour hand is pointing at the 3 and the minute hand is pointing at the 12.
- The angle between the hour hand and the 12 o'clock position is 90 degrees.
- The minute hand is 10 minutes ahead of the 12 o'clock position, so it covers 10/60 = 1/6th of the clock face.
- The angle covered by the minute hand in 10 minutes is 360 * (1/6) = 60 degrees.
- Since the minute hand is at the 2 position, it covers an additional 2/5 * 60 = 24 degrees.
- Therefore, the angle between the minute and hour hand is 60 - 24 = 36 degrees.
So, the correct answer is option 'D' - 35 degrees.
Hour hand at 3 and minute hand at 2 position
- At 3 o'clock, the hour hand is pointing at the 3 and the minute hand is pointing at the 12.
- The angle between the hour hand and the 12 o'clock position is 90 degrees.
- The minute hand is 10 minutes ahead of the 12 o'clock position, so it covers 10/60 = 1/6th of the clock face.
- The angle covered by the minute hand in 10 minutes is 360 * (1/6) = 60 degrees.
- Since the minute hand is at the 2 position, it covers an additional 2/5 * 60 = 24 degrees.
- Therefore, the angle between the minute and hour hand is 60 - 24 = 36 degrees.
So, the correct answer is option 'D' - 35 degrees.
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Find angle between the minute and hour hand of the clock when hour hand is at 3 and minute hand is at 2?a)45 degreesb)30 degreesc)50 degreesd)35 degreesCorrect answer is option 'D'. Can you explain this answer?
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