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To Find: The
Answer to Problem 2CR
The angle formed by the hands of a clock at 9:30 = 105°
Explanation of Solution
Given information:
We are given that the hands of the clock showing time 9:30
Concept Used: A clock represents a
Calculation:
Imagine the clock is showing 12:00 and starting from there counting the angle between the hands when it will reach 9:30
For Hour Hand:
Angle covered by hour hand in 1 hour = 30°
Angle covered by hour hand in 9 hours= 9 × 30° = 270 °
Angle covered by hour hand in 30 minutes or 12 hour = 12 × 30° = 15°
So total angle covered by hour hand till 9:30 = 270° + 15° = 285°................................(i)
For Minute Hand:
Angle covered by minute hand in 1 minute = 6°
Angle covered by minute hand in 30 minute= 6° × 30 = 180 °..........................................(ii)
Subtracting (ii) from (i) to get the final angle formed between the hands of clock at
9:30 = 285° - 180° = 105°
Conclusion:
The angle formed by the hands of a clock at 9:30 = 105°
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