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Find the angle traced by the hour hand of a clock between. 5 15 AM and 5:45 PM?
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Find the angle traced by the hour hand of a clock between. 5 15 AM and...
Angle Traced by Hour Hand of a Clock


To find the angle traced by the hour hand of a clock, we need to use the formula:


Angle traced by hour hand = (30h + 0.5m) degrees



  • h: Hour

  • m: Minutes



Calculating the Angle Between 5:15 AM and 12:00 PM


Let's first calculate the angle between 5:15 AM and 12:00 PM:



  • h = 5

  • m = 15



Angle traced by hour hand from 5:15 AM to 12:00 PM:


(30 x 5 + 0.5 x 15) degrees = 157.5 degrees


Calculating the Angle Between 12:00 PM and 5:45 PM


Now, let's calculate the angle between 12:00 PM and 5:45 PM:



  • h = 5

  • m = 45



Angle traced by hour hand from 12:00 PM to 5:45 PM:


(30 x 5 + 0.5 x 45) degrees = 172.5 degrees


Calculating the Total Angle Traced


To get the total angle traced, we need to add the angles calculated in the previous steps:


157.5 degrees + 172.5 degrees = 330 degrees


Conclusion


The angle traced by the hour hand of a clock between 5:15 AM and 5:45 PM is 330 degrees.
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Find the angle traced by the hour hand of a clock between. 5 15 AM and 5:45 PM?
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