Class 5 Exam > Class 5 Questions > If a clock reads 3:45, what is the angle betw...
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If a clock reads 3:45, what is the angle between the hour hand and the minute hand?
- a)60°
- b)90°
- c)75°
- d)135°
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If a clock reads 3:45, what is the angle between the hour hand and the...
The minute hand is at 9 and the hour hand is between 3 and 4. So, the angle is 90° + 45° = 135°.
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If a clock reads 3:45, what is the angle between the hour hand and the...
Angle between Hour and Minute Hand:
Hour hand completes 360° in 12 hours, which means it moves 30° in 1 hour. At 3:45, the hour hand has moved 3 hours and 45 minutes, which is 3.75 hours in total.
Calculating angle of Hour Hand:
Angle covered by hour hand = 30° x 3.75 = 112.5°
Minute hand completes 360° in 60 minutes, so it moves 6° in 1 minute.
Calculating angle of Minute Hand:
Angle covered by minute hand = 6° x 45 = 270°
Calculating the Angle between the Hour and Minute Hand:
To find the angle between the hour and minute hand, we subtract the smaller angle from the larger angle.
Angle between hour and minute hand = |270° - 112.5°| = 157.5°
Therefore, the correct option is d) 135°, which is the angle between the hour and minute hand at 3:45.
Hour hand completes 360° in 12 hours, which means it moves 30° in 1 hour. At 3:45, the hour hand has moved 3 hours and 45 minutes, which is 3.75 hours in total.
Calculating angle of Hour Hand:
Angle covered by hour hand = 30° x 3.75 = 112.5°
Minute hand completes 360° in 60 minutes, so it moves 6° in 1 minute.
Calculating angle of Minute Hand:
Angle covered by minute hand = 6° x 45 = 270°
Calculating the Angle between the Hour and Minute Hand:
To find the angle between the hour and minute hand, we subtract the smaller angle from the larger angle.
Angle between hour and minute hand = |270° - 112.5°| = 157.5°
Therefore, the correct option is d) 135°, which is the angle between the hour and minute hand at 3:45.
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If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer?
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If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer?.
If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a clock reads 3:45, what is the angle between the hour hand and the minute hand?a)60°b)90°c)75°d)135°Correct answer is option 'D'. Can you explain this answer?.
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