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Angel traced by hour hand of clock between 5.15AM and 5.45PM?
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Angel traced by hour hand of clock between 5.15AM and 5.45PM?
Tracing Angel with the Hour Hand of a Clock between 5.15AM and 5.45PM
When the hour hand of a clock moves, it traces an angle around the center of the clock face. In this case, we are asked to find the angle traced by the hour hand between 5.15AM and 5.45PM, which is a period of 12 hours.
Calculating the Angle Traced in One Hour
Before we can find the angle traced in 12 hours, we need to know how much the hour hand moves in one hour. The hour hand completes one full revolution (360 degrees) in 12 hours, so it moves:
360 degrees ÷ 12 hours = 30 degrees per hour
Calculating the Angle Traced between 5.15AM and 6.00AM
The clock face is divided into 12 hours, so each hour is 30 degrees. From 5.15AM to 6.00AM is 45 minutes or 0.75 hours. Therefore, the angle traced by the hour hand between 5.15AM and 6.00AM is:
30 degrees per hour × 0.75 hours = 22.5 degrees
Calculating the Angle Traced between 6.00AM and 12.00PM
From 6.00AM to 12.00PM is 6 hours, so the angle traced in this period is:
30 degrees per hour × 6 hours = 180 degrees
Calculating the Angle Traced between 12.00PM and 5.45PM
From 12.00PM to 5.45PM is 5 hours and 45 minutes or 5.75 hours. The hour hand moves an additional 0.75 hours (22.5 degrees) before reaching the 12 o'clock position, so the angle traced in this period is:
30 degrees per hour × 5.75 hours + 22.5 degrees = 187.5 degrees
Calculating the Total Angle Traced
Finally, we can add up the angles traced in each period to find the total angle traced between 5.15AM and 5.45PM:
22.5 degrees + 180 degrees + 187.5 degrees = 390 degrees
Conclusion
The angle traced by the hour hand of a clock between 5.15AM and 5.45PM is 390 degrees.
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Angel traced by hour hand of clock between 5.15AM and 5.45PM?
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Angel traced by hour hand of clock between 5.15AM and 5.45PM? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Angel traced by hour hand of clock between 5.15AM and 5.45PM? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Angel traced by hour hand of clock between 5.15AM and 5.45PM?.
Angel traced by hour hand of clock between 5.15AM and 5.45PM? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Angel traced by hour hand of clock between 5.15AM and 5.45PM? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Angel traced by hour hand of clock between 5.15AM and 5.45PM?.
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