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What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 4 to 7?
- a)1/2
- b)1/3
- c)1/4
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What fraction of a clockwise revolution does the hour hand of a clock ...
When the hour hand of the clock goes from 4 to 7, it rotates by 1 right angle, that is 90�.
Fraction of revolution = 90�/360� = �
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What fraction of a clockwise revolution does the hour hand of a clock ...
To determine the fraction of a clockwise revolution that the hour hand of a clock turns through when it goes from 4 to 7, we need to calculate the angle covered by the hour hand.
The hour hand of a clock moves 30 degrees for every hour on the clock. Since there are 12 hours on a clock, each hour represents an angle of 360 degrees divided by 12, which is 30 degrees.
Since the hour hand moves 30 degrees in one hour, we can calculate the angle covered from 4 to 7 as follows:
- From 4 to 5, the hour hand moves 30 degrees.
- From 5 to 6, the hour hand moves another 30 degrees.
- From 6 to 7, the hour hand moves an additional 30 degrees.
Therefore, the total angle covered by the hour hand from 4 to 7 is 30 degrees + 30 degrees + 30 degrees = 90 degrees.
Now, we need to determine the fraction of a clockwise revolution that 90 degrees represents.
A full revolution of a circle is 360 degrees. Therefore, to find the fraction of a revolution, we can divide the angle covered (90 degrees) by a full revolution (360 degrees):
Fraction of a revolution = Angle covered / Full revolution
= 90 degrees / 360 degrees
= 1/4
Hence, the fraction of a clockwise revolution that the hour hand turns through when it goes from 4 to 7 is 1/4. Therefore, the correct answer is option C.
The hour hand of a clock moves 30 degrees for every hour on the clock. Since there are 12 hours on a clock, each hour represents an angle of 360 degrees divided by 12, which is 30 degrees.
Since the hour hand moves 30 degrees in one hour, we can calculate the angle covered from 4 to 7 as follows:
- From 4 to 5, the hour hand moves 30 degrees.
- From 5 to 6, the hour hand moves another 30 degrees.
- From 6 to 7, the hour hand moves an additional 30 degrees.
Therefore, the total angle covered by the hour hand from 4 to 7 is 30 degrees + 30 degrees + 30 degrees = 90 degrees.
Now, we need to determine the fraction of a clockwise revolution that 90 degrees represents.
A full revolution of a circle is 360 degrees. Therefore, to find the fraction of a revolution, we can divide the angle covered (90 degrees) by a full revolution (360 degrees):
Fraction of a revolution = Angle covered / Full revolution
= 90 degrees / 360 degrees
= 1/4
Hence, the fraction of a clockwise revolution that the hour hand turns through when it goes from 4 to 7 is 1/4. Therefore, the correct answer is option C.
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Community Answer
What fraction of a clockwise revolution does the hour hand of a clock ...
As it makes a right angle by moving 4 to 7 so 90/360=1/4
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